{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.metrics import calinski_harabasz_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 聚类算法：无监督学习算法（没有目标值）\n",
    "# 创建数据\n",
    "# x为样本特征，y为样本簇类别，make_blobs内参数分别为：1000个样本，每个样本2个特征，每个簇的中心，\n",
    "# 随机数种子，每个簇的方差\n",
    "x, y = make_blobs(n_samples=1000, n_features=2, centers=[[-1, -1], [0, 0], [1, 1], [2, 2]],\n",
    "                 random_state=9, cluster_std=[0.4, 0.1, 0.1, 0.1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABj8AAAKOCAYAAAD54wtlAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy86wFpkAAAACXBIWXMAAA9hAAAPYQGoP6dpAACpnUlEQVR4nOzdfXwcd3nv/e+uHm1LlmytpTh+wpHlYJOkThxiSAFhJSQpEEFLTwr0cF4FEsiB05bYHIKBQtsDpOZFkt70piVJoXeb0pymtICTAoZEjtu+Ak5j4ybEji0rrSMrxvI6Xll+kPWwe//hjLJa7c7+Zmdmd2b28/4HIs/uzu7Mjuzfd67rimUymYwAAAAAAAAAAAAiIl7pHQAAAAAAAAAAAPAS4QcAAAAAAAAAAIgUwg8AAAAAAAAAABAphB8AAAAAAAAAACBSCD8AAAAAAAAAAECkEH4AAAAAAAAAAIBIIfwAAAAAAAAAAACRQvgBAAAAAAAAAAAipbbSO1DM8eOjld4FGFq4cJ5efvlMpXcDAMqG6x6AasN1D0A14ZoHoNpw3UOYLFrUXHQbKj/giVhMqqmJKxar9J4AQHlw3QNQbbjuAagmXPMAVBuue4giwg8AAAAAAAAAABAphB8AAAAAAAAAACBSCD8AAAAAAAAAAECkEH4AAAAAAAAAAIBIIfwAAAAAAAAAAACRQvgBAAAAAAAAAAAihfADAAAAAAAAAABECuEHAAAAAAAAAACIFMIPAAAAAAAAAAAQKYQfAAAAAAAAAAAgUgg/AAAAAAAAAABApBB+AAAAAAAAAACASCH8AAAAAAAAAAAAkUL4AQAAAAAAAAAAIoXwAwAAAAAAAAAARArhBwAAAAAAAAAAiBTCDwAAAAAAAAAAECmEHwAAAAAAAAAAIFIIPwAAAAAAAAAAQKQQfgAAAAAAAAAAgEgh/AAAAAAAAAAAAJFSW+kdAAAAAAAAAIBSTKUz2js0ouTpcSWa6rVuSYtq4rFK71ZJovRegCAg/AAAAAAAAAAQOn39Sd3dd0jDp8enf9beVK/NPavU05Wo4J45F6X3AgQFba8AAAAAAAAAhEpff1J3bts3IyyQpOHT47pz2z719ScrtGfORem9WKbSGe0eTGn7/mHtHkxpKp2p9C6hClH5AQAAAAAAACA0ptIZ3d13yHabe3YMqLuzLfBto6L0XixUsSAoCD8AAAAAAAAAhMbeoZFZVRK5jo2e196hEa1f1lqWfSp1Xkel38v0fp8Z18rF5zWSOquXz06UPHPEqmLJZVWxbO1dG4oAhPkr0UD4AQAAAAAAACA0kkXCAqfbueW00iF7Yf2FE2eMXsOP95Jvv7M5rdaIShULlSvRwcwPAAAAAAAAAKGRaKr3dDs3nM7r6OtPqveBXbr94Wf0uR88r2/tGjR6Ha/fS6H9zuZ05oiTKpagiuL8lWpG+AEAAAAAAAAgsHKHZ1++eL7ai4QBHc0NWrekxff9Mql0sIZ9mwQO+Xj9Xkz2O1v2e7ATtIocp5weTwQfba8AAAAAAAAABFKhFkQ3vrZdDz59pODjNm3s9L21kpNKh3VLWhwFDtm8fi8m+53NdOZIkCpySlHp+SvwHpUfAAAAAAAAAALHrgXRg08f0QeuXjqrAqSjuaFsQ7WdVDo4DRwk/95LKZUXJo9Zt6TFcUVOblVPJasqwl65gtmo/AAAAAAAAAAQKCYtiH584Li+++Fr9OzRU0qeHleiqV7rlrSUbZi2k0oH0wXzD79hmVYunOfreyml8sLkMTXxmDb3rNKd2/YV3Ca7iiVog8XDXrmC2aj8AAAAAAAAABAopi2Inj16SuuXterGNe1av6y1bMGH5KzSwXTB/PXLFxR8L26qJLIfm05niu53vvdgoqcroa29a4tW5ARxsHgplSsINio/AAAAAAAAAARKGFoQOal0WLekRS2NtRoZmyy4bUtjbcGFdbsqie7ONu0dGilY/ZLvsfMbzZeFnc4c6elK2O6T6WDxN61cWNaqHqeVKwg+wg8AAAAAAAAAgRKWFkRWpUNuuNDR3KBNGztntG8qdZqFVSWRy6qSmN9Yq1NZoUp266hCj7W2twtkrPfQ3dmm3YMpRyGEFfhYAciewZQykk6endCJs+NGVT3vuO9nShV4X35xcjwRfIQfAAAAAAAAAALFakFkt0gelBZExSodpAttvE7ZVH1I0sjYpPYOjWj9stbpn5lUSeQ+rxWK3PXONbr3iQHbxzbUxvX137xcJ89NaOXiFo2kzurlsxPT72HnwAn1PrDL8VyOfNUmTqUKvC+/B9qbHE+EA+EHAAAAAAAAgEAJWwuimnhsOrSYSmdmLZyX2sbLZPZJIV95/JBOnpuw3Wb49Lhq4jHdtKZdiUSzkslRZV4pUSlWcXLXO9fo+ksXzfrzQo/zyt19h9Td2eZ7C6zsEArhRPgBAAAAAAAAIHDC2IIoX8XDonl12vCahUaPz23j5WamSbHgw+41TCpOPvvP+6WYtHFVYjrsWTC3Tl99vL+k/TU1fHpcf7XrRd36xhW+vg7Cj/ADAAAAAAAAQCB53YIoX1WGVxUEhSoejp+Z0KPPHSv6+HxtvMox0yTfa5hUnKQz0pZH9hcd5O6H+548rNcsnKsFc+t8bU3l5/kC/xF+AAAAAAAAAAgsr1oQ5avK8GqItkmlRDGfeOslsxbWTWaf2GlpqNHI+amCf15oboqTihMvg48Fc+qMK1Y++8/7lc6aIu/1QHQ/zxeUR7zSOwAAAAAAAAAAfrKqMnJDBGt+RV9/0tXzu5nNYVkwp27Wz6zZJ6VoaayVYvZVCu++/KK8Py9HxUmuO956ib5/6zUyLazIDj4k746l5P/5gvIg/AAAAAAAAAAQWSZVGffsGNBU7mq6A25mcxR7ju7ONn302hWa3+isic/I2GTRqoz7njys3gd2qe/gzMX8k+cmjEMIr7TNrde+Y6OzQg2n3B7LcpwvKA/aXgEAAAAAAACILJOqjGOj57V3aKTk9lpeVEoMps7NmjFx8tyE7t0x4LqqxM7w6XF9ats+zZ/fqKsvalJff1JbHtnv2+sVkmiq9yREcnssy3G+oDwIPwAAAAAAAABElumCupuFd7ezOaQLVRgP7RnSqTIPD7d8+h+f0Q8++gbXs0tKsWBOndYtadHeoRFPns/NsSzH+YLyoO0VAAAAAAAAgMgyrcpwU73hZjZHtkoFH5KUOjep3/3HZ32tMinkU9evUk08Nh0iueXmWJbjfEF5EH4AAAAAAAAAiCyTBfWO5gatW9Li6nV6uhLa2rvWk8X7Stk96E3lhRMfuHqprl+9SJJZiFRsFInbY1mu8wX+I/wAAAAAAAAAEEnWDI3rXllcL2TTxk7VeDDhu6croW23bdA3brlCf/xrl+qqJfNdP2eUNdfHddnFMz+jQiHS3Lq4eroSum51wvY5b7h0katjaRLAeHW+wF+xTCYT6LH0x4+PVnoXYCAWkxKJZiWTowr2GQUA3uC6B6DacN0DUE245gHR0Nef1N19h2a0cYrHpHTW97qjuUGbNnaqp8t+Qd2L10ZhW3vXzjoGVnC189AJ/XD/sFLnJoyeq6O5Qd+/9RrX4US+Y+jX+QLnFi1qLrqN7wPPd+7cqX/8x3/U3r179fLLL6u+vl4rVqxQd3e3/sf/+B9auHCh37sAAAAAAAAAoIr09Sd157Z9s35uBR/vu2qJule1ad2SFk/v4J9KZ/RXu17UfU8e9uw5q8Ef/fB5dXf+6oxjUROPaWRsUg/tGXL0XMdGz+vvfz6k37pyyaxjawUqydPjSjTV2x7/nq6EujvbjLdH8PhW+TE5OalPf/rTeuSRRwpu09bWpq9//eu68sorC25D5Uc4cFcMgGrDdQ9AteG6B6CacM0Dwm0qnVHvA7tsqy6s6gBJni1u9/Un9dXH+3X8jFmFQtTMb6x1NbD91jcu10evfc30f5scRzvtTfXa3LNqukojXyVH7jZecRKyoDQVrfy4++67p4OP6667TrfeeqtWrlyp4eFh7dy5U3/+53+uEydO6Pbbb9e2bdvU0dHh164AAAAAAAAAqBJ7h0aKLpgfGz2vv9r1or77zFFPFsMLVZpUk9+68mI98NMXS3783z19RLe+YcV0SGByHO0Mnx7Xndv2aWvvWknKe3yyt/EqAClnyAJ7vgw8P3bsmP7mb/5GknTzzTfrz//8z3XVVVdpwYIFuvTSS/WRj3xEf/M3f6Pa2lqlUindd999fuwGAAAAAAAAgCqTNFwwv+/Jw7MW163F8L7+pO1jp9IZ7R5Mafv+Yf374ZO6u+9QyfsbFd9++oirx5+dSGvv0Mj0f5sex2Lu7jtU9Pjcs2NAU+nCpX7Zx3v3YKrgtlYIVup5BW/5Uvnx2GOPaXLyQonTHXfckXebK664Qhs3btRPfvITPfHEE/r85z/vx64AAAAAAAAAqCKJpnrXz3HPjgF1d7blbVXEMPP8zk6kXT9HduDhxXGUZHScjo2e196hEa1f1jrrz0wrOabSGaOQpdB5Be/5UvkxPDysxsZGJRIJLVmypOB2y5cvn94eAAAAAAAAANxat6RF7S4Xzq3F8FyF7uyHN544lJyusJhKZzS/oaZsr52v0sRJJYdpu7V85xX84Uvlxx133KE77rhDp0+ftt3u8OHDkqSWlhY/dgMAAAAAAABAlamJx7S5Z5XrGRy5i+Emd/bDnccOJvXYwVcDhXLWR+RWmjit5DBt02WyHQPTveHbwHNJampqKvhnR48e1c6dOyVJV111lZ+7AQAAAAAAAKCK9HQltLV37ax2RfGYZDPaYYbcxXC3A7jhnOGhsjW/oUanzk/ZbtPR3KB1S2beoO+kkmP9slbjNl3FtmNgund8DT8KSafT+oM/+ANNTExIkt7//vfbbh8j1Ao86xhxrABUC657AKoN1z0A1YRrHhAN161O6K2r2vTzIyNKnhnXiTPjuveJF4we29HcoCuXtsy4DiTPEHyEUczgYn7HWy9Rbc3M7UyPd/LMuGIx6cqlF9qt2QUm+c6rbH0Hk3krlqw2W1/pXaue1QQgpioSfnz5y1/Wv/7rv0qS3vGOd+iNb3xjwW0XLpynmhpfRpPAB21tzZXeBQAoK657AKoN1z0A1YRrHhANN7XPlyR9f++Q8WPev2G5fvbSqNqbG3XNyoWqicfUeTHhR5gsbmnUe1+/TPc+1l902xUXtSiRmHnNNz3enRe3Tj/2j999mf7n3+6RNLNqxco6/uhdr1PHK+djrql0RvfufKrg68Qk3bvzBb3nDa+hBZahsoYfmUxGX/7yl/Xggw9KklavXq3/83/+j+1jXn75DHdahEAsduEvhSdOjCrjRT0aAAQc1z0A1YbrHoBqwjUPiKaGdNpou3n1NTMWzNub6vXJnlXqXtWm+Y21OjU2WfCxNTFpqsLXjc62uRo4cbayO1Fhd7z1Er33qiX6yYHjRtsPvJRSV8vMdlSXNNcZVXKcPHlGf/uvKSXm1evKpS3a2rtWX81tW9XcoM0bO3X1RU1KJkfzPtfTL6Z0dGSs4GtlJB0dGdNP9h7R1ctbjd5XlOWGVfmULfwYHx/Xli1b9Oijj0qSOjs79a1vfUvz5s0r+lj+ohEemQzHC0B14boHoNpw3QNQTbjmAeFgOhx63ZLibYkk6cz4zPkQw6fH9alt+3TXzWuKDuCudPAhSS+dKryAXg06mhv0W1cuUTwWU2Ke4RyOefWzrvfxWEw3vrZdDz59pODjRscm9LHvPDv939Zsjm23bch7Ttr9TnEyMJ3fTWbKEn68/PLL+vjHP649ey6U/Lzuda/TX/7lX2rhwoXleHkAAAAAAAAAEeRkOHRNPKbNPavyzlQw8ZXHDmnEpuojKM5NmFW4RNWmjZ3T4ZdJ4JVv2Ll0IVTb/vyw7WudzfmsrdkcW3vXOh5O7tXAdLzK92Ea//Vf/6X3vve908HHm9/8Zj344IMEHwAAAAAAAABK1td/YTh07sK2tQDd15+c9ZieroS29q5Ve84C8ry6mqKvd/LchLsdhq/m1dfoo9euUHdn2/TPrMDLTnZYkm3v0EjRKqFC7tkxoKm0s/IMK6ixUyioQX6+hh/PP/+83vve9+rw4cOSpFtuuUXf+MY3jFpdAQAAAAAAAEA+U+mM7u47ZLtNoQXonq6Ett22QR+9doXmN15ojHNmYmrWdgiXM+NTuu/Jw+p9YNeM4KtQ4NXR3GBboWHahiqfY6PntXdoxNFj3AQ1yM+3tleHDx/Whz70IZ08eVKS9Pu///v62Mc+5tfLAQAAAAAAAKgSJnflWwvQ65e1zvqznQMndN+Thx2/buucOqWoAAm0fK2neroS6u5sM5oNY3HbXqqU8MQKanJbuXU0N2jTxk7HrbSqnS/hx/j4uO644w6dOHFCkrRlyxb9zu/8jh8vBQAAAAAAAKDKOBkOnTsQ/fLF84tWjeTT0dygT3Rfoi2P7nf8WJRubl181mwNE/fsGFB3Z9t0wFETj+UNwgoxmRdip9TwpJSgBvn5En48/PDDeu655yRJN910k/7bf/tvOnPmjO1jaIUFAAAAAAAAwITpwnJff1Jf3TEwo1qjtbFWqRIGl1t33sfjsbx35r+2vUk7B044fl7M1NHUoC/ctFovn53Q4ZNn9cBPXyzpeewqf0xYbaju3LbP8WPdzuZwGtQgP1/Cj7/5m7+Z/v8/+tGP9KMf/ajoYw4cOODHrgAAAAAAAACIGNO78vMNPXcafLQ01uq9Vy3RxGRauwdT6u5sm3Vn/uWL5+vXv/mUo+dFfpt6OvX6FQv02MHj+ubPSgs+LG7mdkiF21C1NNZqxOY8YjZHMHgefpw8eXJ6wDkAAAAAAAAAeM3NXflOjZ6fnDEfpL2pXpt7VqmnKzHdUutbuw6X3B4JF3Q0NWhTz4Xqmr7+pLY84r69mNu5HVLhNlQ7B04wmyPgYplMJlPpnbBz/PhopXcBBmIxKZFoVjI5qmCfUQDgDa57AKoN1z0A1YRrHhAeff3JWQvQ5fKBq5dq+/PDhB4e+b23vEbtTY1aMLdOf/jD53X8jLvB8h3NDfr+rdf4WoGRO0+G2Rzls2hRc9FtCD/gCf5iCKDacN0DUG247gGoJlzzgHCxFqD//cWT+ubPBiu9OwiIrb1rqcCIMJPwI16G/QAAAAAAAAAAX1jDoVcunOf4sfPqa3zYo8Lm1M1cju1obtAHrl5q/PiWxlrd9c41+vPfvFzzG30Z51yVptIZ7R5Mafv+Ye0eTGkqTfIdBXxDAAAAAAAAAISe0/kO8xtr9X/efqm+8MODSp1z12LJ1Jbru9Te3DCrTdLc+poZc0UKueuda3TVslb9/c+HdMrh4HY/zamL69xEutK7McM9OwbU3dlWtA1VvtZp2XNdEF5UfgAAAAAAAAAIvXVLWtTuIAA5NTap3/+n55QuY3+79uYGrV/WqhvXtGv9stbphfkPbliuRfPqbB/b0dygkbFJ9T6wS/c+8YK7/Wiq19w6b5aG51Yg+DCZqnFs9Lz2Do3YbtPXn9Sd2/bNmtsyfHpcd27bp77+pIu9RKURfgAAAAAAAAAIvZp4TJt7Vjl+nFVB0ZLTRsrrudUdzQ1at6Ql75/VxGP65HVdto+/4dJF2vLoftcD1j9y7Qptu22D/uCmS109j+VsBSo+brnyYqPtkjaf1VQ6o7v7Dtk+/p4dA7TACjHCDwAAAAAAAACR0NOV0NbetbMqQFoba2fN28iV20bK63kgmzZ22rZgKrTvHc0N+tI7X6tHnjvm6vU7mhq0tXetbnvjCu0cOKF7dwy4er5K+cDVS7XRsB2VXSu0vUMjRYMkk+oRBBczPwAAAAAAAABERk9XQt2dbdo7NDI9W2MqndHHv/Os7eNy7+8fPT8l6UJFyIiL+RotjbX6zA2rjeZHdHe2qam+RnuOpJTJSFcva9XI2KS2PtavlMsZH1+4abVev2LBdKunsPrxgeO6/Vdfo/ametvwwq7SRrKvCillOwQP4QcAAAAAAACASKmJx7R+Wev0f2/fP1zyczXUxvVn77lMn/3n5x0NGZ/fWKv3XrVEH9qwvOjQbSn/4O1//I+jroKXbC+fnTBq9eSHloYajbwSJrl1bPS8nj16Spt7VtmGOO+6/CI9duD4jMHy2eyqQkrZDsFD+AEAAAAAAAAg0twsYA+fHtcLJ84aBR+/371Si+Y1FFxwL6RQNYZXwYd04TMwafXkhy++c43qauIaHj2ve3YMuK5iSZ4e141r2rW1d+2swMia3XL/k4enf9beVK/NPatmVN+sW9LiunoEwUb4AQAAAAAAACDSTBa67RxJjRltt2heg25c0+7ouctRjWEt4j924Livr1PIyLnJ6c+loa7GddstK8zKbXE2mDqn+7JCD8vw6XHduW2ftvaunQ5AauKxotUjxea0INgYeA4AAAAAAAAg0qyF7lItbW002q6UCpNyVGNYi/im+9fU4O2w9+zXLTTY3VRuNYbV4uz6Sxfpu88ctX3sPTsGNJV+dbqL3ZD57KAE4UTlBwAAAAAAAIDIsxa6c9skxWNSOnfaeZaO5gb95q9crG8/fcSXFkleDtSe31g7oz1XR3ODNm3snF7EN6mAaWms1SO3bdCv3fcznRkvPqejdU6dUucmCv55vs/FqtjYM5jSpx/d72iWSqFqDJMQ6djoee0dGpkxDya3esRpyzIEF+EHAAAAAAAAgKqQb6H75LkJbXlkf8HHbNrYqfrauG8tkrwaqN3SWKsffPQNevboqYKL+CatnkbGJvXTwyf1uRtWa8ujhT8X6UKw8YnuS2y3y/1cptKZ6c//xNlx4+AjN8jJZRoi5dvOqh5BtBB+AAAAAAAAAKga+Ra6472xWRUhuYvthSpHii3KF+N2HollZGxSzx49VXQRv7uzTS2NtbbD1O/ZMaDv33qNPnD1Uj349JGC21nvOx4v/vlJFwa7525n4sNvWKbb3vga23DJNETyKmxC8BF+AAAAAAAAAKhqpq2P/GiRZFKNYcqk+mHv0Iht8CG92h7q97ov0drFzdr6k36lbNppmXwuff3Jkt/j65cvKPoZm4RIpbYmQzgRfgAAAAAAAACoeqatj/xokVSsquTQ8dN64KcvFn0ek6oGp+2hrl+9SBtXJYoGPnafy1Q6o7v7Dhm9bi7TwMIkRCq1NRnCifADAAAAAAAAACrMrnqiu7NN33vmqI6fcTZYPJ9S2kMVCjay53fYVcGYDCMvxElg4VdrMoQT4QcAAAAAAAAABEChkKEmHtMnr+vypKrBq/ZQ+eZ3tDfVa3PPqlkhg2m1SbYFc+p005p2tTTWaiqdcRSAeN2aDOEUr/QOAAAAAAAAAEAlTaUz2j2Y0vb9w9o9mNJUOlPpXZrFqmpoz6nc6Ghu0NbetcZVDVZ7KDvFghRrfkdugDJ8elx3btunvv7kjJ+bVpvc8dZL9L6rlqi1sVYnz03ooT1Duv3hZ9T7wK5Zz2nHCpFuXNOu9ctaCT6qFJUfAAAAAAAAAKqWkwoGP5m0kPKqqsFNeyiT+R337BhQd2fb9H6ZVpu0Nzfo3idemPVnVqhy1zvX6PpLFxV7e4Akwg8AAAAAAAAAVcqqYMhlLbY7qahwux+mAYxXA9dnBClnxtV5casuaa5TPGYfpJjM7zg2el57h0a0bknLdFDz61cs1n1PHi74mE90X6J7dwzYPu9n/3m/FLswhB0ohvADAAAAAAAAQNWZSmf05R8ftN3myz8+OKOCwQ+VDGCsICUWkxKJZiWTo8oU6fhlOr9j56ET+vwPnp8RlMxvrFVM0sjY5PTPrGqTlsbaoqFKOiNteWS/4r0xhpejKMIPAAAAAAAAAFVn92BqxiJ8PiNjk9o9mNI1Kxb4sg+ltJCqNNP5HQ/tGZr1s1OvfN4fuXaFlrfOmdG2a/v+YeN9CNpngmBi4DkAAAAAAACAqrPnSMrT7UrhpIWUnXIObLfmd9gplkl8/9lf6vpLF80YRm4aqkhmnwlA5QcAAAAAAACAqlOsvZPT7Uph2kLKbrtyD2yvice0uWdV3lZdlmLZixVeZM8uMRmKns30s0P1ovIDAAAAAAAAQNW52nBouOl2pTCtdii0nTUvJDcwsOaF9PUnXe9jPj1dCW3tXTurAqSjuUHvu2qJ0XPkhhdWqGLKSaUIqhOVHwAAAAAAAACqzlXLWjW/sXZ6DkU+LY21usrH8MOk2qGjuUHrlrTM+nml54X0dCXU3dmmvUMjSp4en57fsXdoJO+8j1z5woueroTueucaffaf99tWjxT6TIBsVH4AAAAAAAAAqDo18Zg+e8Nq220+c8NqX4dqm1Q7bNrYmXcfvJoX4kZNPKb1y1p145r26fkdJjNB7MKL6y9dpC+9c43t4wt9JkA2wg8AAAAAAAAAVclq37RoXt2Mn7c31Wtr71pfZmYU2od8LaTs9sGLeSF+cBPoWK5fvaikzwTIRtsrAAAAAAAAAFWrUPumclYWlLIPbueF+MkKdHIHsXc0N2jTxk6j8CIIxwXhRvgBAAAAAAAAoKpZ7ZvCtA9u5oWUgxfhRRCOC8KLtlcAAAAAAAAAEDJetJfyW76ZIEC5EH4AAAAAAAAAQAiVOi8EqAa0vQIAAAAAAACAkGI2BpAf4QcAAAAAAAAAhBizMYDZaHsFAAAAAAAAAAAihfADAAAAAAAAAABECuEHAAAAAAAAAACIFMIPAAAAAAAAAAAQKYQfAAAAAAAAAAAgUgg/AAAAAAAAAABApBB+AAAAAAAAAACASCH8AAAAAAAAAAAAkUL4AQAAAAAAAAAAIoXwAwAAAAAAAAAARArhBwAAAAAAAAAAiBTCDwAAAAAAAAAAECmEHwAAAAAAAAAAIFIIPwAAAAAAAAAAQKQQfgAAAAAAAAAAgEgh/AAAAAAAAAAAAJFC+AEAAAAAAAAAACKF8AMAAAAAAAAAAEQK4QcAAAAAAAAAAIgUwg8AAAAAAAAAABAphB8AAAAAAAAAACBSCD8AAAAAAAAAAECkEH4AAAAAAAAAAIBIIfwAAAAAAAAAAACRQvgBAAAAAAAAAAAihfADAAAAAAAAAABECuEHAAAAAAAAAACIFMIPAAAAAAAAAAAQKYQfAAAAAAAAAAAgUgg/AAAAAAAAAABApBB+AAAAAAAAAACASCH8AAAAAAAAAAAAkUL4AQAAAAAAAAAAIqW20jsAAAAAAAAQFFPpjPYOjej8kVNqSKe1bkmLauKxSu8WAABwiPADAAAAAABAUl9/Unf3HdLw6fHpn7U31Wtzzyr1dCUquGcAAMAp2l4BAAAAAICq19ef1J3b9s0IPiRp+PS47ty2T339yQrtGQAAKAXhBwAAAAAAqGpT6Yzu7jtku809OwY0lc6UaY8AAIBbhB8AAAAAAKCq7R0amVXxkevY6HntHRop0x4BAAC3CD8AAAAAAEBVSxYJPpxuBwAAKo/wAwAAAAAAVLVEU72n2wEAgMoj/AAAAAAAAFVt3ZIWtRcJNjqaG7RuSUuZ9ggAALhF+AEAAAAAAKpaTTymzT2rbLfZtLFTNfFYmfYIAAC4RfgBAAAAAACqXk9XQlt7186qAOlobtDW3rXq6UpUaM8AAEApaiu9AwAAAAAAAEHQ05VQd2eb9g6N6Hw8roZ0WuuWtFDxAQBACBF+AAAAAAAAvKImHtPVy1uVSDQrmRxVJlPpPQIAAKWg7RUAAAAAAAAAAIgUwg8AAAAAAAAAABAphB8AAAAAAAAAACBSmPkBAAAAAAAQAFPpjPYOjSh5elyJpnqGrQMA4ALhBwAAAAAAQAVkhx2DqXP67jNHNXx6fPrP25vqtblnlXq6EhXcSwAAwonwAwAAAAAAVLXciosrl7b4/pp9/Und3XdoRtiRa/j0uO7ctk9be9cSgAAA4BDhBwAAAAAAqFr5Qoj2pnr98bsv09UXNRk/j5OWVX39Sd25bZ/xc9+zY0DdnW20wAIAwAHCDwAAAAAAUJUKhRDDp8f1P/92j7b2rtVGg4qLxw4c19bHDyl1bmL6Z4VaVk2lM7q775Cj/Tw2el57h0a0fllr3j9nVggAALMRfgAAAAAAgKpjEkLcvWNAbylScfG1nS/owaePzPp5oZZVe4dGbFtdFZIs8JhClSvMCgEAVLt4pXcAAAAAAADAral0RrsHU9q+f1i7B1OaSmdsty8WQmT0asVFIY8dPJ43+Mh2z46BGftSKMQoJtFUP+tnVuVK7vuwgpe+/mRJr5XN6ecKAEBQUPkBAAAAAABCrZTqB9MQotB2U+mMtv6kv+jjc1tW5QsxiulobtC6JTOHsJtUrridFUJVCQAgzKj8AAAAAAAAofXYweMlVT+YhhCFtts7NKLU2KTRc2QHKOuWtKjdYQByw6WLZgUYJu2zilWu2ClHVQkAAH4i/AAAAAAAAEactkDyu2XSYweO67OP7rfdJrftlKVYCBFT/ooLi5P2VdkBSk08ps09q4wfK0kPPn1kVtjgtnLFjmlVCS2wAABBRtsrAAAAAABQlNMWSH63TOrrT2pLkeBDmt12ymKFEHdu25f3cRlJPV0J7R5MKSbp5bMTSjTVa92SFtXEY8aVIzFJTw+mlDw9Pv34nq6EtvaunfX52MltYeW2csWOk6qS3M8VAICgIPwAAAAAACCCptIZ7R0ambHo7mb2Q76QwGqBtLV37YxAw2T77s62kvfPpDIhW271g/XZTEym9dFrV+i7zxydsdgfj0npjPTQniE9tGdoxmOtAKe7s03tTfVFQ4KMpL/86YuzHt/TlZj+DJ46fFLf2jVo+zy5YYNVuWL3+naVK3Z2HjphtF2pw9sBACgHwg8AAAAAACLGy6oLp4O1Tbb/8o8P6qs1MR0/M1HS/plUJmTLrn7I99ksmlenj1y7QqNjk3poz5DsujllBzh2lSMmj+/pSmj9slbjEOHfXzw5HRIVq1yRpE0bOx0FSnuHRjQ8el7bfvFLo8eUUlUCAEC5MPMDAAAAAIAI8XpQtdPB2ibbj4xNzgg+nO6fk4qD7OqHQp/N8TMTuv/Jw/rBvmPGz3vPjgGl0xm1NJZ2X2n2zAzTEOGbPxtU7wO7pj8jq31W7uySjuaGWdU4dvr6k+p9YJduf/gZff6HB3RmfKroYxbMqSupqgQAgHKh8gMAAAAAgIhwWqVhwulgbbetkHKrSPK1xnJScdDTldDeoRFdvnh+0c9mZGzS+HmPjZ43mjli93irjdXli+dPt9oqxgqJPnLtCn1ow/IZ7bNKaSFWqEVZMTetaS+5jRoAAOVA+AEAAAAAQET4Maja6WBtt62QrP0bGZss2LrLdN6G9Orcjnl1cZ2ZSLvaN689dfikkqfHdeLsuFHwke3+Jw/re88cnW4VVsrgcaezU7J1r2or6XEAAJQLba8AAAAAAIgIp1UaJqzB2nayW0uZbF/MzkMnbFt37Rw4oc09qxw9Z9CCD0n61q5Bfe4Hz+veJ14o6fGltjKzOJ2dYil1kDoAAOVE+AEAAAAAQEQ4rdIwYQ3WtpM9WNtk+2Ieec5+4LbVGusDVy919TpRcXffIT11+KS27x/W7sHU9CyRYkptUeZkkDoAAJVC2ysAAAAAACLCqrqwu5u/lLv2rcHauW2oOpobtGlj56zB2tb2X/7xQUdzNCynz9sP3D42el67B1Pa/vyw4+eOouHT4/r4d56d/m+rPVixgedOW5QVOt4AAAQR4QcAAAAAABFhVV3YDbAu9a59p4O1uzvb9NUa/6oD9hxJldSyqRpY7bC29q61PWYmYdmCOXW6462XqP2V0IyKDwBAWBB+AAAAAAAQIU6rNJyoiceMB2vvHRrR8TMTJb9WMWmfR3j8r42dumhunRbMqdOeIyl982eD/r6gD77844O6uzaed2h8T1fCKCz79Nu6qPQAAIQS4QcAAAAAABHjtErDD6XOkzD1T88c9fX5f3XVInW11GtyKqPPPrrf19fyS76WY9lVIT1dCV/DMgAAKonwAwAAAACACHJSpeEHp/MknCplloglJsluJHhHc4OuWblQJ18+rb1DI0q5eK2gsobG18RjgQjLAADwGuEHAAAAAADwnMk8iUqpq4lpfKpw/HHF4ubp/+93BUulHBs9r71DI9MBWaXDMgAAvBav9A4AAAAAAIDoseZJBJFd8CFJPzmY1K/+SZ/6DiZ9r2CppKgGOwAASGUOP774xS/q0ksv1T/8wz+U82UBAAAAAEAFWPMk5jfUVHpXHPvlqTF9ats+/cuhE5XeFd9EOdgBAKBs4cfjjz+ub3/72+V6OQAAAAAAUCFT6Yx2D6a0ff+wWhpr9aV3rqn0LpXs7/YMVXoXisqdzNHeVK+WRvtO5x3NDVq3pMX4NcYn0/q73Uf0lccP6e92H9H4ZLqEPQUAoHzKMvNjx44d+sQnPqF0ml+MAAAAAABEWV9/Unf3HZox66O5oUbz6mt0ZnyqgnsWXRlJv9+9UovmNUwPK985cEJ3bttX8DGbNnYaDzT/2s4X9O3dR5TO6hb2/+x8Qb+9fql+r/sSl3sPAIA/fK38SKfT+rM/+zN97GMf0/g4fSQBAAAAAIiyvv6k7ty2b9aQ89HzUwQfPhsdm9SNa9q1flmrauKx6ZZj7TmtrTqaG7S1d616uhJGz/u1nS/owadnBh+SlM5IDz59RF/b+YJXbwEAAE/5Vvnxb//2b/rKV76iAwcOSJJe97rX6bnnnvPr5QAAAAAAQAVNpTO6u++Q48fNb6zVhuWt2js0ouNnJnzYs+qQyTPDvacroe7ONu0dGlHy9Ph0VUhNPKapdGbWzyXN+NnajmZ9e/cR29f99u4juv1XX6P62rKOlQUAoCjfwo8Pf/jDkqS6ujrdfvvt6u3t1dve9ja/Xg4AAAAAABSQb6HbtOWRqb1DI7MqPgppbazVpo2dan9l7kRNPKbHDhzXlkf3e7pP1aS5wFD5mnhM65e1zvhZvtZkLY21ykg6NTY5/bN5dfFZFR+50hnpO//xkt6/fmmpuw4AgC98Cz9isZiuu+46bdq0SZ2dnTpyxP5OAQAAAAAA4L18C93tTfXa3LPKuPWRiaRh8CFJqbFJDY2M6dfWdki6EM7c+8SAZ/tSjf6/fz+iJQvmFj2mVmuyXCNZoYflzITZ7NYjqTGznQQAoIx8q0n84Q9/qK9//evq7Oz06yUAAAAAAICNQjM4hk+P685t+9TXn/TstRI5syWKue/Jw9Ov76RqBPmdGpssekxLbU1WzNLWRs+fEwAAt3wLP1auXOnXUwMAAAAAgCJMFrrv2TGgqQJ9jabSGe0eTGn7/mHtHkwV3M6ybknLrOHaxViv76RqBPbsjqkfIVM8Jv3mr1zs6XM6PfcAAMjHt7ZXXop524YUPrCOEccKQLXgugeg2nDdA8LHZKH72Oh57R0a0dXLW2f8vO9gUl/N0yrrkz2r1LM6f1ul2pqYPtmzSp/K01Kp2OsPps4ZP8aNmKSoL6MfGz2vPUdSumbFgll/ljzjfcj02+uXqqHOu3trSzn3ALjH3/UQRYEPPxYunKeaGt8KVOCxtrbmSu8CAJQV1z0A1YbrHhAe54+cMtsuHlci8ep3+0e/OKo7t+2bFRIMnx7Xp7bt05+//yq9/YrFeZ/rlkSzBlLndN+//Kfxfp5TTH+/9yXj7d2IevBh+cyjz+tP3nO5brps5nHqvLj08CMWkzJZH2A8Jt325pXa8va1JT9nrkLn3vFX2rT9xX+/atZ7AuAt/q6HKAl8+PHyy2dIHEMgFrtwcTxxYnTGX4YAIKq47gGoNlz3gPBpSJsNq25Ip5VMjkq60G7o89/7hW1I8L8e2qMvj67R9ZcumvVnU+mMvrtnyNF+9j33S6XOTjh6DOylzk3o9r/do6/0rp1RLXFJc53am+odt77qaG7Qdz54tf7pmaM6khrT0tZG/bd1F6u+Nj597rhld+5ZP/vC95/Tle3zVBNnoQjwGn/XQ9hk37hRSODDD0l84UIkk+F4AaguXPcAVBuue0B4WDM47Ba6O5obtG5Jy/T3+udHirfKSmekTz+yX1tjMfV0vbqwPpXO6O9/PuRoYX1BY51+cmDYeHs4c9dP+vWrKxeqvvZCR414LKbNPat0p4PWZJK0aWOnGutq9P71S2f83MvfBybn3rHR8/r5kRGtX9bq3QsDmIG/6yFK6CcFAAAAAEAE1cQvLHTbefflF+mxA8enh0o7GTyePVi7rz+p3gd26d4nXnC0jyfHJjQ2ySqbX06em9A77t+lvv7k9M96uhLa2rt21nD6lsZazW+ceY9sR3ODtvaunRFy+cX03HNyjgIAqlsoKj8AAAAAAIBz1kL33TkDpFsaa5WRdN+Th6d/1t5Ur3cXmOWRjzWsfGRs0nElAcondW5Cd27bNyPE6OlKqLuzTXuHRpQ8Pa5EU73WLWmRpFk/K1eLqUROGON2OwAACD8AAAAAAIiw3IXuF1PndH9W6GEZPj2u+588rJbGWo2MTRo99/Doef2//2o+3Bxm6uLShNnIFmP37BhQd2fbdJhRE4/lbR9VqZZSTtq0AQBggrZXAAAAAABEnLXQff2li/S9Z4569rwnz004Hp6N4rwOPqRXK3WCyqRN26aNnQw7BwAYI/wAAAAAAKBK7B0qPlR6ZGxSVyxuLvpcHc0NWjCnzqtdQxkEfV5GoXkk5Zw9AgCIDtpeAQAAAABQJUwXv585Olp0m0+89RLCjwBoaayVMhmNnJ8qum0Y5mUUmkdCxQcAwCkqPwAAAAAAqBJeLn4vmFOnyxfPV6vHAUhLY61+v3ulp88ZZZ+5YbV+cPsbix6HMM3LsNq03bimXeuXtRJ8AABKUrbKj6VLl+rAgQPlejkAAAAAAMpqKp0J/N3qJkOlTe08dEKf/8HzSp2b8GDPXvWZG1ZrYtKHoRcR09JYq/detWR6iPmWt3Xpzm37Cm7PvAwAQLWh7RUAAAAAAC719Sd1d9+hGaFCe1O9NvesCtScAmuotN0iuamH9gx5sEev6mhu0KaNnerpSmj3YMrT546ikbFJ3ffkYf3Tf7ykT17XNT0vI/c8zP5c7YQhvAMAwIlYJpPJVHon7Bw/XrzPKCovFpMSiWYlk6MK9hkFAN7gugeg2nDdAwrr60/ahglBHNScL6zpaG7Quy6/SPc/ebjo42OSvLgUfPgNy7Ry4bxZi+1T6Yx6H9jlSYVKtbDOs3whhiTbYCMs4R0A//B3PYTNokXNRbeh8gMAAAAAgBJNpTO6u++Q7Tb37BiYbk0UFIWGSkvS9545WjR08Gpd7PXLF2j9sta8f/buKxYbBTG44Ms/Pjh9nmV/psWCjULh3fDpcd25bZ/r8I6KEgBApRB+AAAAAABQor1DI0WDgmOj57V3aKTgIn+l5C6SW4q1xXrTyoX6t/98uejzz2+s1amxyYJ/XmgAd77F+ii6bnWbNq5apIVz6/SHPzrg+v2OjE1qz2BKr1+xYPpnxYKNu965Rvc+MWD7vG7COypKAACVFK/0DgAAAAAAEFZJwwVr0+2CwJod0d5UP+PnC+bU6a53rtF/f/1So+d531VLbP883wBua7E+6sGHJK1KNOn6SxcpHo95FgT8+4up6f9vUpX0lceLh0xWeOdUoWNpBS99/UnHzwkAgBNUfgAAAAAAUKJETkDgdrugKNQWqyYe01Q6o/amettF847mBn1ww3JdkphnPIDbZLE+Sh789yP6x71DSp4tXB3j1C9Hz0//f5OqpJPnJoye12l4F9Z2cACAaCH8AAAAAACgROuWtBgFAfnaOwVdobZYNfFY0dZYVlWHXYiSy2SxPkrOTkzprFn2YOyi5obp/+9ltZHT8C7M7eAAANFB2ysAAAAAAEpkBQF28rV3CrtCrbE6mhtmDci2QpQb17Rr/bLWgp9FmFqDBdXrl7dO/3/TwKK10f6+2FLCuyi2gwMAhA+VHwAAAAAAuGAFAabtnaLCSVWHibC1BstnwZw641ZSTsUkZWz+fH5DjTKStu8fVqKpXms7mhWPSWmbB8Vj0v++fpU+++jzBbcpJbyLajs4AEC4EH4AAAAAAOCS10FAWBRqjVUKkxZiQRWT9LX3XKarlrbq17/5lC/vYU5dXGcn0oX3IRbTx7/z7PR/t86psw0+pAvBSNvces/Duyi3gwMAhAfhBwAAAAAAHvAyCKhGJrNEnLj5dR165LljRbebVxfXGZtQwURG0gsnzuoNr1no6XuQpJbGWo2MTRYMPubUxXVuIq2RsZmD01MOhpnfuKbd0/DOyVwYAAD8wswPAAAAAAAQCIVmiThZIm9prNXW3rX67A2rZz1PPsWCj/oas1c/khqT9Op7WDSvzuhxhXzwmmX6+m9eXvT1z0+6C26s1lOms1lMOZkLAwCAH6j8AAAAAAAAgZGvhdjJsxPa8uh+m8e0aWXbXF21tHXGwr0XVRjjU0V6R71iaWvjrPfwV7te1H1PHnb8mi2Ntfror75Ge4dGdPyMfQVHsdZWdvxuPVWt7eAAAMFA+AEAAAAAAAIlXwuxeDzmeC5FoWH0Xg8mj8ek3/yVi2e9h1vfuEKnxib10J4hR8/3mRtWqyYeU9Ln+SflaD1FOzgAQKUQfgAAAAAAgJJMpTNlu6u/1CqCfI8bHj2vz//wgGf79tvrl6q+Nn9n8e5VbcbhR0dTgzb1vBrmJAzadplobaxVKmsmiJth5gAAhAXhBwAAAAAAcKyvPzmroqK9qV6be1b5tqheahVB7uN2D6YcP0ddTUwTOS2wYpL++9VL9XvdlxR83LolLWpvqp/xOeWa31iru965ZtasDZPHxmP2ra86mhv0Tx96vZ49eipvaFTOAAsAgHIi/AAAAAAAAI709SfzztIYPj2uO7ftC/xAa5NQIVdu8CFJGUmXXTzf9nE18VjR2SOfvWG1rlmxoKTH/vb6pXrw6SMF/3zTxk7V18bzhkaVCLAAACiX/DWZAAAAAAAAeUylM7q775DtNvfsGNCUm0ncPrNCBS+YvFdr9kh7ThurjuaGokGR9diWxtn3r85vrNVlF88v6bmtACs3ALICrL7+pO17AgAg6Kj8AAAAAAAAxvYOjRStmDg2el57h0YCPei60DB0p0zfa+7skYVz65SRdPLshHYPpoq2mxrJmtlhOTU2OV1ps+22Dcbtq0wDrO7ONlpgAQBCi/ADAAAAAAAYSxoGBabbVVJ2ILHz0An9cP+wUucmpv+8pbE2b+iQy/S9WrNH+vqT+sMfHTBqN+UkqDANm6ISYAEAYIfwAwAAAAAAGEvktFdyu12lWYHE+mWt+v3uSy5UT5wZV+fFrTp58ow+9p1niz6Hk/fqdF6KH0FFlAIsAAAKIfwAAAAAAADGTIaFdzQ3aN2SljLulTesICQWkxKJZh0brvP0vZbSbsqPoCJqARYAAPkw8BwAAAAAABgzGRa+aWNnJGZFeP1enVRxWPwIKqwAy05YAywAACyEHwAAAAAAwBFrWHjuAnpHc8Ostk1h5+V7LaWKw4+gopoCLABA9aLtFQAAAAAAcCx7WHjy9LgSTfVat6QlkgvmXr3XUqo4rKAi35wQSylBhRXq3N13aEY1SkdzgzZt7IxUgAUAqE6EHwAAAAAAoCTWjIxq4MV7LXVeil9BRTUFWACA6kP4AQAAAAAAUAZuqjj8CiqqKcACAFQXwg8AAAAAAIAycVPFQVABAIA5wg8AAAAAAIAyot0UAAD+I/wAAAAAAAAoM6o4AADwV7zSOwAAAAAAAAAAAOAlwg8AAAAAAAAAABAphB8AAAAAAAAAACBSCD8AAAAAAAAAAECkEH4AAAAAAAAAAIBIIfwAAAAAAAAAAACRQvgBAAAAAAAAAAAihfADAAAAAAAAAABECuEHAAAAAAAAAACIFMIPAAAAAAAAAAAQKYQfAAAAAAAAAAAgUgg/AAAAAAAAAABApBB+AAAAAAAAAACASCH8AAAAAAAAAAAAkUL4AQAAAAAAAAAAIoXwAwAAAAAAAAAARArhBwAAAAAAAAAAiBTCDwAAAAAAAAAAECmEHwAAAAAAAAAAIFIIPwAAAAAAAAAAQKQQfgAAAAAAAAAAgEgh/AAAAAAAAAAAAJFC+AEAAAAAAAAAACKF8AMAAAAAAAAAAEQK4QcAAAAAAAAAAIgUwg8AAAAAAAAAABAphB8AAAAAAAAAACBSCD8AAAAAAAAAAECkEH4AAAAAAAAAAIBIIfwAAAAAAAAAAACRQvgBAAAAAAAAAAAihfADAAAAAAAAAABECuEHAAAAAAAAAACIFMIPAAAAAAAAAAAQKYQfAAAAAAAAAAAgUgg/AAAAAAAAAABApBB+AAAAAAAAAACASCH8AAAAAAAAAAAAkUL4AQAAAAAAAAAAIoXwAwAAAAAAAAAARArhBwAAAAAAAAAAiBTCDwAAAAAAAAAAECmEHwAAAAAAAAAAIFIIPwAAAAAAAAAAQKQQfgAAAAAAAAAAgEgh/AAAAAAAAAAAAJFC+AEAAAAAAAAAACKF8AMAAAAAAAAAAEQK4QcAAAAAAAAAAIgUwg8AAAAAAAAAABAptZXeAQAAAADRM5XOaO/QiJKnx5Voqte6JS2SNOtnNfFYhfcUAAAAQBQRfgAAAADwVF9/Unf3HdLw6fHpn81vrFVM0sjY5PTP2pvqtblnlXq6EhXYSwAAAABRRtsrAAAAAJ7p60/qzm37ZgQfknRqbHJG8CFJw6fHdee2ferrT5ZzFwEAAABUAcIPAAAAAJ6YSmd0d98hx4+7Z8eAptIZH/YIAAAAQLUi/AAAAAAibCqd0e7BlLbvH9buwZSvIcPeoZFZFR8mjo2e196hER/2CAAAAEC1YuYHAAAAEFH5Zm/4OWcjWULw4cVjAQAAACAXlR8AAABAiJhWchSaveHnnI1EU31FHgsAAAAAuaj8AAAAAELCtJLDZPbGPTsG1N3Zppp4zLP9W7ekRe1N9Y5bX3U0N2jdkhbP9gMAAAAAqPwAAAAAfObF3A0nlRwmsze8mLOR+74kaXPPKsfPs2ljp6chjNfKOTcFAAAAgDeo/AAAAAB85MXcDaeVHKbzM3YeOqH1y1qNts1l97629q6d9WctjRf+6TEyNjn9s47mBm3a2OnL/BGvlHtuCgAAAABvEH4AAAAAPrGqNXJZ1Rpbe9caLaA7qeRYv6zVeH7GQ3uGNL+xVsta5yjRVK/LF8/Xs0dPKXl6XImmeq1b0pK3IsPkfW27bYP2Do3MeC7rveT+bPdgquhrVoJXxw8AAABA+RF+AAAAAD4wqtboG1BzfY1ePjthu/BvWslhbedk9sZ9Tx6e/v8xSdkNndzOE8lXVZL9syBXVVRqbgoAAAAAbzDzAwAAACiR3SwIo2qN0+f1se88q8/94Hnd/vAz6n1g14zZHZaFc+uM9sfariYeK2n2Ru4ki3zzRH5+xJt5IqYzTJzO28i3fSkzO8o1NwUAAACAP6j8AAAAAEpQrGrBtFojW6F2SqbjtbO36+lK6H1XLdFDe4Yc70euL28/oH2/PKVT42n9+3++bPSYxw9eCC/yVbNMpTP68o8P2r/mjw/q0PHT+t6zv9Rxw8qQfMekpbFWGUmnsmaNmFSXOK22AQAAABAsVH4AAAAgVEq5i99rJlULpnM38rlnx8CM93Xy7ITR43K3617VVvI+ZBs5P6W/fuqIvrv3JR0ZGTN6zD/sfalgNcu3dr04Y/B53tccm9QDP31xRvAhvfoZ37NjYMbxL3RMRsYmZwQf2c+Rr8rGYnr83BxnAAAAAP6h8gMAAAChEYQZEaazIP7pQ683nruRK3t4uSS9mDpn9LjchXgnsz/8YgUNd928RtevXqSpdEb/d/cR18/70J4hPbRnSO1N9bpjY6fu3THg+DnsZnaYfHYdzQ3TQ9sBAAAABAuVHwAAAAgF0xkRfjOdBfHs0VMlzd2wWO2UptIZffc/Xiq6fUdTgy5fPH9GVYwkV/vgpc8+ul+PHTiuvUMjOnV+yrPnHT49ri2P7HcVMuVjMjdl08ZOhp0DAAAAAUX4AQAAgMAzrbYoRwssJ7MgeroS2tq7VovmmQ0sz2ZVcewdGtHxM8XbXrU31+sd9/1Mtz/8zIwB6pK0tXet2ivcnimdkbY8ul87D52o6H7ksjue1vHL/ew6mhtmzWUBAAAAECy0vQIAAEDgmVZbZLeK8ovTWRDpdEYT6Zl/Fo9dCAMKyW6nZBq2PHt0dNbPsgeob7ttg/YOjSh5elwvps7p/icPGz2v17b94pcVed1Cih3Pnq6Eujvbpj+7RFN93iHuAAAAAIKF8AMAAACB56Tawm9OZkF8becLevDp2fMtihWoZLdT8mKgtjXbIjcYqkQAcmbcu5ZXbpnO7KiJx3wP1QAAAAB4i7ZXAAAACDyn1RZ+Mp0FseNQMm/wkS23eMBqp9Td2TY9u2NyKq3WRnf3LOWbbfGhDcsr3gqr0pjZAQAAAEQXlR8AAAAIPCfVFuVgzYK4u+/QjH3qaG7Qpo2d6u5s001/8dOiz5POSHe89RK1za2fbqe0c+CEeh/YVdIAbzu5VTFWiHPntn2evk7QtDTWKiPp1Njk9M+s48TMDgAAACC6CD8AAAAQeCYL9eW+i99uFsTuwZRSWYvtdkbOTaht7oUKjB2HktryyH5f9jdfVUyhEKfYTJKw+MRbVuq965dKkp5+8aT+ed8xnZuY0q9c3KI3rVxY4b0DAAAA4CfCDwAAAIRCsWqLStzFX2gWhJPZI9/aNTj9//3KbgpVxUylM2pprNX/evNKnTw3oZbGWo2MTU7/74I5dRo4cUZ//ZR9+y63PnjNMnUm5inRVK8TZ8b12X9+3pPn/dZTg1rcOke/eOmUvr37yHSg88Shl/Vn//qf+u31S/V73Zd48loAAAAAgoXwAwAAAKFhV20RJAvn1pX0OL+qLd51+UWzftbXnyxa8TG/sVbdnW3+7FSW1rl1unFN+/R//+LoqB7aM+T6eU+NTRasFkpnND2TxS4AmUpnAn++AQAAAJiN8AMAAAChUqjaIiisUCFI7n/ysL73zFH9+hWLtax1jgZT53Tfk4dnbZcbvpwam9Qjzx3zff9ePjOuH+47ppPnJrRgTp0umt/g+2tavr37iG7/1deovjY+68/yBUTtTfXa3LOKeSEAAABAwMUymUygu/kePz5a6V2AgVhMSiSalUyOKthnFAB4g+seEH3WHf/Do+enF+XbX2kfVejO/77+ZFkHiL9jTbv+9YUTOnV+avpn8+prdGZ8yuZR4RCTZHd5LfbnTtzx1kv0/ldmg1iKHcutvWsJQIAI4+96AKoN1z2EzaJFzUW3ofIDAAAAyJHvjn9LoTv/p9IZo4qPuXVxnZ1Ie7Kf/7x/ePr/z2+s1W9debG+98zRSIQfxf7N/eWb1+g/T5zVg0+9qHOT7v6FfiQ1NuO/TY7lPTsG1N3ZRgssAAAAIKBm13Z76MCBA/rf//t/6y1veYsuu+wyvelNb9Ltt9+uf/mXf/HzZQEAAICSWXf85ws+JGn49Lju3LZPff3JGT/fOzRS8DHZbnvjCk/2M9epsUk98NMXdfzMhC/PHxQxSW+7dJE2rkrotjeu0FfffZnr51za2jjjv02O5bHR89o7NOL6tQEAAAD4w7fw47HHHtN73vMebdu2TceOHdPExISOHz+uHTt26LbbbtMXv/hFv14aAAAAKIlp9YZ04c7/qawhGUmD4EOS2ubVq72pvqT9w4WKkJ8cOK4b/uKn6utPav2yVlefZzwm/eavXDzjZ6bH0nQ7AAAAAOXnS/jx3HPPadOmTZqYmNDll1+uBx98UD/72c/0ne98R9ddd50k6cEHH9S3v/1tP14eAAAAETeVzmj3YErb9w9r92BqRgjh5rGm1RvS7Dv/E4YL8O3NDdrcs8p4f5HfqbFJ3bltn3YOnHD1ef72+qWzhp2bHkvT7QAAAACUny8zP/70T/9U58+f1/Lly/XXf/3XmjdvniRpwYIF+vrXv67f/d3f1U9+8hN97Wtf07ve9S41NTX5sRsAAACIoHzzOArN4XD6WKd38lvbT6UzmkpnNL+hZsbw8VwdWQPTP3D1Uv3t00dmzbaor4lpfIopk6bu7jukbbdt0EevXaH7njxs/Lh47ELw8fE3r9TuwZSSp8eVaKrXuiUtWrekRe1N9bZBmHUsAQAAAAST5+HHwMDA9EyPj3zkI9PBhyUWi+nTn/60HnvsMaVSKW3fvl3vec97vN4NAAAARJA1jyOXNYdja+/aggGIyWOd3smfaKq3HY6e612XX6THDhzXYOqcHnz6SN5trOBjfmOtTo1NOtqfajR8elx/tetFfXDDcv3Tf7xkO/NkXl1cv7a2Q8sWzNFv/srF+rf/fFm9D+zKG4Zt7lmV93yxbNrYybBzAAAAIMA8b3tlBR+xWEw9PT15t1m6dKkuvfRSSdLjjz/u9S4AAAAggkzmceTO4XD62MsXzzeeH9HR3KCTZydsh6NbWhpr1dJYq/ufPKzP/eB5owqFxpq4bn3jcqN9qXb3PXlYOwdO6JPXddluV1sT1+tXLND71y/Vv/3ny3mPnRWGSdLW3rWzzoeO5gbbkA0AAABAMHgefuzfv1+SdNFFF6mtra3gdmvXrpV0YT4IAAAAUIzJPI7cORxOH/vs0VPG8yM+8dZLdO8TA7bbtDTW6rY3LtfI2KRGHFZxDJ8Z15VLWvSmlQsdPa4SglD/cE/fgJrra/S+q5Zobl3+f+aMvDIn5LEDx43CsO7ONm27bYO+ccsV+uLbX6tv3HKFvn/rNQQfAAAAQAh43vbqpZdekiQtWbLEdruLL75YknTs2DFNTEyorq7O610BAMDYVDqjvUMjM3q+084ECBbTeRz5tnPy2BvXtGtr79qCraw6mhu0aWOnWhpriwYqI2OT+oefv2T02vl88nvP6dxkuuTHl0sQJpQcO31eH/vOs0bbfuXxQzp5rnB7LOnVIG39slatX9bqwR4Wxu8gAAAAwHuehx8nT56UJM2fP992u+bmZklSJpPR6OioFi4M/h1tAIBocjM8GUD5mM7jyLed08f2dCXU3dl2oWJk9LxOnpvQgjl1as8aWL59/7DRc6ZczO0IQ/ARRsWCD4tpaOYGv4MAAAAAf3gefpw/f16S1NjYaLtdQ0PDrMcUEuOmp8CzjhHHCkCQTKUz+vmRESXPjCsxr15XLp19J23fQfsByF/pXaue1bMXn7juAeV35dIWtTfV21ZbdDQ36MqlLbO+m6U8trYmpquXtxbc3ulwdIRPoqne1+t8qb+DAPiPv+sBqDZc9xBFnocfNTU1ki4MPLeTybxaHB+PFx49snDhPNXUeD6aBD5pa2uu9C4AJZtKZ/TUf76s4dExtTc36pqVC2k5EWI/+sVR/dEj+3R0ZGz6Z4tbGvWFm9fqpssWS7pwzO/d+VTB54hJunfnC3rPG15T8FzgugeU1x+/+zL9z7/dI2lmqyXrG/pH73qdOtrzVyC7eWw+b1vYpMXbD+qXI2N52z7FJC2cV68TZ/yvHoC3YpIuamnU29Yt9e3vAl78DgLgP/6uB6DacN1DlHgefsydO1eSNDY2Zrvd+Pir/wisry9819zLL58hcQyBWOzCxfHEiVFlgtD0GXCo72BSX83TcuKTPau44zKE+g4m9ak8d9IeHRnT7X+7Z/pO2qdfTM0IR3JlXnnMT/YemXX3N9c9oDKuvqhJW3vXzr5mNzdo88ZOXX1Rk5LJUUn5q79MH2vqju5L8l5vpAvXkP/d06l7dgwUnQ2CYMnowrE9+fJp317Dze8gAP7j73oAqg3XPYRNIlE8qPM8/GhqapIkjY7a/8Px1KlTki5UfbS0tNhuyxcuPDIZjhfCp6+/cMuJT23bp629a+m5HSJT6Yy+2nfIdpu7dwzoLZ1tjgYgF7q2cd0Dym9jV0JveWUeR+6AaOv7aDdHYdttG2wf63Rf8g1Ht4ai93QlFIvF8v6esfzamkX64f7jzl8cvpjfWKvP3rBaG7sSjs8JJ4PLvfgdBMB//F0PQLXhuoco8Tz8WLlypZ566ikdPXrUdjvrzxcvXmzb9goA/DSVzujuIgvl9+wYUHdnGy0nQmLv0EjRO6yPjZ7X3qERV8OTAVRWTTym9cta8/6ZXah9pw+hdvZwdJNF71xP/udJzW+s1SkXg9HhnbveuUbXrFjg+HFOB5fzOwgAAADwl+epw6WXXipJGhoamq7uyOe5556TJL32ta/1ehcAwJiThXKEg5M7adctuTAA2U5Hc4PWLbGvUAQQHKah9lTa29vZrDDmxjXtWr+sdTr4MNmfkbHJosHHvPoaz/a12nzk2hX64ttfqz97z2UqFkfFYyrpmm8Fbrl/p7ACt77+5KzH8DsIAAAA8Jfn4cdb3vIWSVI6ndYTTzyRd5vBwUEdPHhQkvTmN7/Z610AAGNOFsoRDk7upK2Jx7S5Z5Xtdps2dlL1A4RI0EJtk/2xtDTWatG8uhk/WzCnTnfdvEZ3Xmd/rUJ+8+pr9KENy3XjmnbV1cTzDqbPls5Izx4tfANXPqUGbvwOAgAAAPzlefixbNkyrV+/XpL09a9/fdbsj0wmoz/5kz9RJpPRggUL9K53vcvrXQAAY7SciB6nd9L2vNKvP/cxHc0NzHsBQihoofbw6HnjbUfGJvXuKxardc6rAcjJcxO6d8eA/vWFl/3Yvcg7Mz6lv9s9qM//4Hn9PzsHjB7j9NxwE7jxOwgAAADwj+czPyRpy5YtuuWWW/Rf//Vfev/7368777xTa9eu1dGjR/X1r39djz/+uCTpd3/3dzV37lw/dgEAjFgL5XaLFrScqAwnQ2OzWXfS2g0Xzr2T1m2/fgDBEbRQ++S5CUfbP/DTF2f9bPj0uH5yoHoHos9vqNGp81MlP/5r//JfjrZ3em64Ddz4HQQAAAD4w5fw4/LLL9eXvvQl/cEf/IEOHjyoD3/4w7O2+eAHP6jf/u3f9uPlAcBYKQvl8J/TobG5rDtpc5+jo7lBmzZ25n0Ou+HJAMIjaKH2gjl1xTeCrbtuXqvdgyl9a9eg769VyrlhGpYsnFv4XOB3EAAAAOA9X8IPSfqN3/gNve51r9M3v/lN7dq1SydOnNDcuXN12WWX6f3vf7+uv/56v14aABwpZaEc/rGGxuayhsaatgHhTlqgOgUt1G5vbijL60RVR3PD9AD5coQfpZwbJoGbJP3hjw4Yh/gAAAAA3ItlMplic/8q6vjx0eIboeJiMSmRaFYyOapgn1FAYaW2WYJ3ptIZ9T6wq+gd29+/9ZqKHxuue0CwPXbguLY+fkiprLZTXofaJr83TK5rKMwKvP3+HN2eG4WC+3yY5QGEA3/XA1BtuO4hbBYtai66jW+VHwAQNrScqDwnQ2M5VsFGmIhK6utP6t4nBmYEHy2NNbr5sg5NTKa1ezDl+pw0bc9nUomC2XLDCL8+xw0rWvXBDctdnw9WFelXH+/X8TP2c17u2TGg7s42rokAAACAzwg/AACB4XZoLILB7cwWwI1Cd+CPjE3pL7OGibs5J5225yvUXhGzffCaZdrwmgV5wwg/PsdrVy70LEzv6Uqoqb5GH//Os7bbEeIDAAAA5RGv9A4AAGAxHRpruh3Kz1oUzl2YtBaF+/qTFdozVIOpdEZ39x0y2tbunJxKZ7R7MKXt+4e1ezClqXRmxp8Ve417dgxoKp2Z8TwtjbX67oev0Yc2LHP2pqpIR3ODPvqrr5me8ZFPT1dC3/3wNWpt9OYernes6bA91oX+rJCTZ+2rPiyE+AAAAID/qPwAAASGydDYjuYGrVvSUsa9qh5uW1WZLgrT7gV+MWmdlyv3nCxWuWTanu9bu17U9545Out53n3FYkf7FyW3vnH5jOqbXNbnW+za8+zRU0qNTXqyT2/7i58qO9KwjrWkkirYCPEBAACA4CD8AAAEhklP900bO1k494EXraqY2YJKK+Vu+uxz0qSd1cRk2uh573/ycN7nuf/Jw2pprNWIR4v3QRGPSXaFER3NDbr1DSvUtahp1rXGeuxDe4b00J6hotceL6smcnfZOtb5FGprlo0QHwAAAAgO2l4BAALF6unennNXbEdzg+2CE0rnVasqZrag0kq9mz55ety4cmnB3LqSXiPqinWEsoLrnq6Ett22Qd+45Qq976oleR9b7NpT6aoJq61ZPlaIb4cQHwAAACgPKj8AAIHT05VQd2ebqxZMMONlqyravaDSTO66zyfRVG9cuRSTSnqNbCNjk/rotSv03Zy2WGF3y7rF+vHzx2e0pOpobtCmjZ0zguuaeEzrlrTo8z943vb5Cl17Sj3OXjk2el67B1Oqicfy/o4qNJg932cBAAAAwD+EHwCAQKqJx2iNVAZetqqi3QsqzaR1Xi7rnHzswHGj7V8+O+H4NfJZ1jpH227boD2DKX360f06FYE2WP+w9+iMNlKtc+r0ie5L8i72m157CoUMXhwDN7Y8sk+nzk9N/3duqy5CfAAAAKDyaHsFAAi8qXRGuwdT2r5/WLsHUwXbjcA5L1tV0e4FQVCodV4h1jnppHLJrj3fR69dYfw8NfGYXr9igd512UVGjynm5td1qLmhxnj73756ifHnZCL3ypw6N6Etj+7P277K9Nqz5ZF9uv3hZ/S5Hzyv2x9+Rr0P7FJff9LxcfZadvAh5W/VZYX4N65p1/plrVz7AAAAgDKj8gMAEGheDOJGYV63qqLdC4Ig9677wdS5WS2mcs9Jp5VLhe7sl1S0nVX280ylM9r+/LDr99zSWKtrVy7UI88dK7pt9nv/3Tdfor1DI/rrpwb10/866Xo/8snXvsr0mlIoZLBmQFnHYHj0vO554gWlzk14uu9OmbYJBAAAAOA/wg8AQGBZg7hz5S5+oXR+tKqi3QuCILd13gc3LLc9J01aKeVWLhVqz+fkeUzaP5m6Z4f9/J6Wxlrd9c41uiqrCqEmHtPI2KRvwYeUv3We27kd2SGD9bwNdTUVbYUlmbcJBAAAAOA/2l4BAALJdBA3LbDc8atVFe1eEDQm56RdOysnYauT5zFt/1TMyNikjp+xr3oYGZtUPB6b8d5NrrWW9qZ6fay7s6T9y32fJtceO1bIkK3Y557vz3JPA7ttWxrN7hvz6pgCAAAAcIfKDwBAIHk5iBv2aFUFvMqryiXT5zFt/+SV3IV5J5Unv37FYr159SL9+c4Bx6+b730Wuva0NNZqxGAAfL6Qwa4d2d6hEf2vN6/UyXMTWjCnTu3NDbp88Xw9e/RU3mOU+zzpdEYf+86zJb1XAAAAAOVH+AEAKIupdMbRYqKXg7hRHK2qqpPT72W1KNTOyo/nMWn/tGBOnU56NMsid2HeyTV02YI5umblQsftquxa5+W79rgNGXI/d7vZUfW18YLHKPd5ptIZz9sEAgAAAPAP4QcAwHelDC33ehA3ivNqwRfhUMr3Et4zmTXyqetW6d4nBuwX3ZsalM6kbVtf5VuYd3INTcyrV008pk/2rNKnHMzWKNY6z8+QwcvZUaXMhQEAAABQOcz8AAD4ylp4yl3Eshae+vqTeR9n3Q1thztsgdKU+r3EbFPpjHYPprR9/7B2D6ZKmkNUbFbF9ZcuKj6bp6dTn7yuy36bPAvzJtda6UIwduXSC9fbntX597fQ/AynYZrJPJAbLl1UNGTwY3aUV3NhAAAAAPgvlslkAj0p9vjx0UrvAgzEYlIi0axkclTBPqMAlNNUOqPeB3YVvXv3+7dek3cRq9Adu5ZKLjRx3UNYuf1e4lVeV88Ua0OW7/VyZ/OYbJPvfdhda6UL19vrVidmXPdy99dufkYpvrbzBT349BHbfbL7nHcPpnT7w88UfZ1v3HKF46o3WsYB0cff9QBUG657CJtFi5qLbkPbKwCAb9wOLWcQN+A9t99LXOBlOyVLsdZzJrN5SpnfY11rv/zjg7MGjbc01uozN6xWd2ebnn4xpfNHTqkhnZ5+ztz9Xb+sdToYeOzA8ZKDgal0RtufH7bd5p4dA+rubCv43H7OjqJNIAAAABB8hB8AAN94sfDEIG7AW34uCFcL03ZKdgvzpTJZdC9lYd661u4eTGnPkZQyGenqZa26almrdg6cmFUtVKjCxatqGC9COmZHAQAAANWN8AMA4BuvFp64wxbwDgvC7kW1eqYmHtM1KxbomhULpn/mpMLFy2oYL0I6a56JF4PTAQAAAIQPA88BAL5haDkQPHwv3auW6pmpdEZffbzfdhtrYLjXw8W9COlMBqfnGwIPAAAAIBoIPwAAvmHhCQgevpfuVUv1zF/telHHz0zYbmNVuDiphjHhVUhnzTPJfa6O5oaS5rIAAAAACA/aXgFAiFhDZMM0+4Kh5UDw8L10pxraKfX1J3Xfk4eNtnVS4WK6rRXS5WujZTEN6ZgdBQAAAFQnwg8ACAmvhshWAgtPyBXGIC9q+F6WzsuF+SAyaWGVzUmFi5NtvQzpmB0FAAAAVB/CDwAIAS+HyFYKC0+whDnIixq+l6WLcvWMSQsrS3aFix/VMIR0AAAAAEpF+AEAAWc6RLa7s43FIAReFII8wBLVhXknbayyK1z8qoYhpAMAAABQCgaeA0DAeT1EFqgU0yBvKp0p0x4B7lkL8zeuadf6Za2hDz4k89ZUH7l2xYywkuHiAAAAAIKEyg8ACDjTO3Cd3KkLSOWfu+EkyOMub6ByjAa6NzXoQxuWz/p5VKthAAAAAIQP4QcABJzpHbhOhsgClZi7QZBXGobDo9zsBrrHJGUkbeop3MKKNlUAAAAAgoDwAwACzugO3BKGyKJ6VWruhmlAt3BunXYPpljsF8PhUTmFBrpf1NKoO7ov0UbOPwAAAAABF8tkMoFurH38+GildwEGYjEpkWhWMjmqYJ9RQDgVWqy20Eu9/MJ63ZtKZ9T7wC7bMG3BnDo9+pENqq/1djSYyWu3NNaqoTbOYr/43iMYciuP3rZuqU6+fDpU1z0AKEVY/64HAKXiuoewWbSoueg2DDwHgBBgiCy8YjJ34+S5Cb3j/l3q6096+tpWKx07I2OTs/bPqkjxen+CjOHwCIrsge5XL4/GQHcAAAAA1YG2VwAQEgyRhRdM52mkzk340gKrUCud9qZ6nZ9Ma2RssuBj79kxoO7Otqo456M0HJ6ZJQAAAACASiD8AIAQYYgs3DKdu2HxI3DIF+RNpTP6+HeetX1cWBb7vRCV4fDMLAEAAAAAVAptrwAAgTeVzmj3YErb9w9r92CKVj8urFvSMqt9mh0rcPBadiud9ctadfLshNHjgr7Y7xXTkMppmFVO1swS2pgBAAAAACqByg8AQKBx57i3rLkbdoO0c5UjcIjCYr+XrJDKrvVVR3OD1i1pKeNemTOdWVItbcwAAAAAAOVH5QcAILC4c9wf1tyN1kazeyDKETiYVKQEebHfaybD4Tdt7AxscOBkZgkAAAAAAH4g/AAABJLpneO0wCpNT1dC//zRN6h1Tp3tduUKHMK+2O8HK6TKDYU6mhs8H0TvtajMLAEAAAAAhBdtrwAAgeTkzvFqGIDth/rauLa8rcu2BVY5AwdrsT+3zVlHc4M2bewM9GK/X/INh1+3pCXwIRBtzAAAAAAAlUb4AQAIJO4cL4+gBQ5hXez3kzUcPkzCPrMEAAAAABB+hB8AgEDy487xqXSGRfU8ghY4hHGxHzNZbcyCUlUEAAAAAKg+hB8AgEDy+s7xvv7krOqG9qZ6be5ZVZXtlHIROIRf0MK9oFUVAQAAAACqC+EHAERE0BY+3fLyzvG+/mTe5xk+Pa47t+0L/PBooJighntBqyoCAAAAAFQPwg8AiICgLny65cWd41PpjO7uO2S7zT07BtTd2caCLEIp6OEeVUUAAAAAgEog/ACAkAv6wqdbbu8c3zs0Yts6S5KOjZ7X3qERFmgROoR7AAAAAADkR/gBAAFl0saqWhY+3dw5niwSfDjdDggSwj0AAAAAAPIj/ACAADJtYxW2hc9KzCVJNNV7ul2lRW22C9wh3AMAAAAAID/CDwAlYxHWH07aWIVp4bNSc0nWLWlRe1O9bUjU0lirdUtafNsHr0R1tgtKF7VwDwAAAAAAr8QrvQMAwqmvP6neB3bp9oef0ed+8Lxuf/gZ9T6wS339yUrvWqiZtrGaSmckhWfh0wp0cgMIK9Dx87ypice0uWeV7TYjY5PaOXDCt33wQiU/QwSXFe7Z6WhuCEW4BwAAAACAlwg/ADjGIqx/nLSxksKx8Ok00PFDd2ebWhrtix393gc3gvAZwsxUOqPdgylt3z+s3YMp34+JSbi3aWMnVXkAAAAAgKpD+AHAERZh/eW0jVUYFj6dBjp+7cPI2GRF96EYu0XzIHyGKK5SFXE9XQlt7V07KwjtaG6Y0SYPAAAAAIBqwswPAI6EbcB22JTSxspa+MydBdHR3KBNGzsrvvAZhLkkQdgHO8VmeQR9/6OmlHlGTmb1+KGnK6HuzjbmMAEAAAAA8ArCDwCOsAjrL5Ph3PnaWAV54TMIc0mCsA+FmCyaB3n/o6aUofKmFXHdnW2+fidr4jFCZwAAAAAAXkHbKwCOsAjrLzdtrKyFzxvXtGv9stZABB9SMOaSBGEf8jFdNL988fxA7n/UFJtn9MBPD+dt6UdbMgAAAAAAgofwA4AjQV1EjpKo9e8PwlySIOxDPqaL5s8ePRXI/Y8SkyDq/icP553hQUUcAAAAAADBQ/gBwJGgLiJHTU9XQttu26Bv3HKFvvj21+obt1yh7996TeiCD0sQAp0g7EMuJ4vmQdz/KDEJoqRXq0CyAxAq4gAAAAAACB5mfgBwLOgDtqMiav37gzCXJAj7kM3ponnQ9j9KnFZlZM/wKHVWDwAAAAAA8A/hB4CSsAgbbVPpjC/HNgiBThD2wVLKonmQ9j9KnFZlWDM8rPk6m3tW5R1cbwlaRZxf33EAAAAAAIKC8ANAyViEjaa+/uSsqp72pnpt7llFVY/HwrhoHlWXL56v1sZapcYmjR+TXS0Spoo4vuMAAAAAgGoQy2QymUrvhJ3jx0crvQswEItJiUSzkslRBfuMAmCnrz9puxDPbIlXeXndy7cYHcRF86jK9/mb+MYtV8wKgE0qKipZdVHu7zgVJu4E7fPj73sAqgnXPADVhusewmbRouai21D5AQCQdGGR7e6+Q7bbZM85gHdoI1c5xcKAQgrN8ChWEVfJqotyf8epMHGHzw8AAAAA3IlXegcAIIym0hntHkxp+/5h7R5MaSod/tsi9g6NFL3z3ZpzAO9Zi+Y3rmmfniNRblE8r+2YhAGFlNKOzApacr9nw6fHdee2ferrT5a0L6ZMv+N///Mh18e+0u817Pj8AAAAAMA9Kj8AwKGo3o2bNGz5Y7odwiWq57UdkzAgV6ntyIJQWWX63b33iRf07aePlHzsg/Bew4zPDwAAAAC8QeUHADgQ5btxE031nm5np9oqDIIuyue1HdMw4EMblumLb3+tvnHLFfr+rdeUFAgEobLKyXfXzbEPwnsNMz4/AAAAAPAGlR8AAsl0yGs5h8FG/W7cdUta1N5Ub7voNr+xVlPpjKbSmZLfYzVWGARZ1M9rO6ZhwDUrFtjO8TARhMoqk+94rlKOfRDea5jx+QEAAACANwg/AASO6eJ4uRfRndyN63ahtBJq4jFt7lllO/z51NikPv6dZ20/Z7tAqtBwaesu8629awlAysyv87qcwWSpTMKAQoPNnSpnZVUhJt/xXKUc+yC81zDj8wMAAAAAbxB+AAgU08Xxciyi5y7eDo+eN3pcmO/G7elKaGvv2lmhUq5Cn7NdINXd2VZyhUG5F9LDsHDvFT/uMg9LdY9JGFDKYPN8yhm02DH9jmdzek0LynsNKz4/AAAAAPAG4QeAwDBtv/OmlQt9b9OTb/G2dU6d0WPDfjduT1dC3Z1t2jOY0qcf3a9TY5MFt83+nIsFUh+5dkVJFQblXkgPy8K9V7y+yzxs1T2FwoBSB5sXUs6gpRjrO/73Px/SvU+8UHR7p9e0IL3XMOLzAwAAAABvMPAcQGCYtt/5zn+85Osw2ELDn1PnJoo+ttx34/o1OLwmHlM8HrMNPqRXP2eT4Or/7hkyeu3su8zLPYi7Ggd/W3eZ2zE9r00DzKANuO/pSmjbbRv0jVuucDTY3On3zwpacj/vjuaGsodCNfGYfuvKJZ4d+1xBeq9hxOcHAAAAAO5R+QEgMExbqxxJjRltZ9qmKpvJ4q2dct6N63eFgpN2SCbBVbEgxWLdZV7uQdxuXi/MbbK8vMs8zHNxauIxR/tU6vfPqroIwvnid4VBkN5rGPH5AQAAAIA7hB8AAsO0tcrS1kaj7e554gU11NU4CgJMFm8lqbWxVqmsxXyvW+QU46a1kOlCvZN2SKZByfzGWtsQJPsu83IvpJf6en0Hk/pqyNtkedX6yY/5IUHktrWX06DFT363/QrSew0jPj8AAAAAKB3hB4DAMB3y+pu/crG+/fSRogvVqXMTjmcMmC7KbtrYqfbmhorcjeumQsHJ3epOhu6athh731VLdN+Thwv+efZd5uVeSC/l9X70i6P6VIjmW9jx4i7zF1PnjLYL81ycclcklQMVBgAAAACAKGLmB4DAsFqw2Nm0sVP1tfGi22VzMmPAdFG2vblB65e16sY17Vq/rLWsi4ROKhSyOZ1nYXo8auIx47kRH9yw3LiPvdeDuL16nuy2XH/0SOF2QVIw51vYse4yL+W87utP6n6bYMtS7rk4Xiv1+xd0bo59Ofk15wgAAAAAED1UfgAIFNMWLNZ2d/344Iz2U/k4aY3kpNqhUkqpUCj1bnXT4+FkdoDpXeblPhZOX+/nR0Z0dMR+/kxQ51t4zcmsnHLOxfFDtbT2CiK/5xwBAAAAAKKF8ANA4Jgujvd0JXR+Ykqf/+GBos9puhDp9wBgL5RSEVHKPAtrNsjEZFp/eNOlykg6eXbC9niYzg4w6WNf7mPh9PWSZ1gEt5jOyvnotSvyLlKHaWB8uSuScIHbOSteCtP5CgAAAADVjPADQCCZDnltb24wej4nC5FuBgCXY1GslIoIp3er291hbXdcvJ4d4PcwZjevl5jHIrjF9PzKN+w+bHfzh6E6LGqCNGclbOcrAAAAAFQzwg8AoebXQmQpi/jlWhQrpSLCyd3qbu+wNg2uTJV7GLPp6125tEWLWxptW1+VexG8Unekm55fD+0Z0rqlLdPnT5Du5jcVhuqwqCmlcs0PYTxfAQAAAKCaMfAcQKg5GcpdynObDgB2OkzcLatCwWRwuCTjgeSXL55vdId1uYcMOx3G7HYossnr1cRj+sLNa22fp5yL4H39SfU+sEu3P/yMPveD53X7w8+o94Fdnp97+ZicXxbr/DG9mz+IA62dfv/gThDmrIT5fAUAAACAakXlB0KNvtuQyt8aKVelWrI4qYgwvVv92aOnfL/D2u/vbTnb0tx02WJ9pXetvlqhc89S6TvSTc4vi3X+WPtnsm0QB8aXuyKpmgVhzkpQqk8AAAAAAOYIPxBa9N1GtkouRPq9KGYXFjhpMWUSEm3fP2z0XKXeYe3397YSIUDP6oTeUsFF8KDMQ+jpSuh9Vy3RQ3uGim47PHpe8ZjZvgR5YLzXLd6QXxDmrASh+gQAAAAA4AzhB0Kp0nc5V4uwVdZUaiHSz0Uxr8OCYiGRn3dYm3xv3QRYlQwBKrkIHqQ70rtXtRmFH/fsGNBvXbXE6DmrYWA87AVhzkoQqk8AAAAAAM4QfiB0gnKXc9RRWWPOr0Uxv0I+u4V6v+6wNvnefvnHB/XVmpiOn5mY/pmTcy5IIUA5BemOdJPzR5JSY5O678nDmt9Yq1NjkwW3K/fAeARXpdsbBqH6BAAAAADgDAPPETpOFjhRmnIP7w4702HiThbFSh2u68Wgbz8GyJt8b0fGJmcEH5Kzc850cf/xg8mSPpugCtId6SbnT7ZiZ1E5B8Yj+Hq6Etp22wZ945Yr9MW3v1bfuOUKff/Wa8oSyPt1bQQAAAAA+IfwA6ETpLuco6jURfegcLv4Xwo/FsVKCfn6+pPqfWCXbn/4GX3uB8/r9oefUe8DuxyHVdYd1rmBTkdzQ8nVJm6/j3/yk36NT6ZttzFd3P+HvS+V/NkEkR/hmxvW+dM6p67otiNjk/rItSs8PdcQbVbl2o1r2rV+WWtZwwY/ro0AAAAAAP/Q9gqhE6S7nKMozK2DKtmqy+uWLE5DPq9bZHk9QN7t9/HkuQm94/5d2vK2roLvw7TlkiUqM4L8nIdQ6tyfnq6Ezk9M6fM/PFB02+Wtc7Tttg2hmi+E6uX1tREAAAAA4B/CD4QOfbf9FdbKGr/mYzjh5aKYk5DPrzk4Xg7xdhpM5JM6N2F7LE1CgHyiMCPIj3kIbsPE9uYGo9dJNNVXdGA84BTnKwAAAACEA22vEDr03fZXGCtrgtSqy6uWLE5aGYVhDo7TWRB27I5lobY0dir92XjFy3kIXsz9CVo7LiBbJVokAgAAAADKi/ADoUTfbf+EccEyDIv/TjkJ+cJSrVPwe9vUoPmN5oWIxY5ldgjw39ZdbPSclf5svOJF+OZVmFiuoJpFbDjl1XwkAAAAAECw0fYKoUXfbX/4OT/AL2FZ/HfKtJWRaRXOgrnFB1D7rdD3dufACUftqoody+y2NP+w96WizxekSqZK83Lujx/tuLJVcs4PwikILRIBAAAAAOVB+IFQo++2P/xesPRaGFt1mTIJ+UznafzhD5/XJ68rPDC8XPJ9b61z7q4fH1RqbLLoc5geS2YEOed1mOhXUM0iNpzyaz4SAAAAACCYCD+AEJhKZ8pe4RKmyhqTBe54TDp5dqKMe+Udk5Dv3Vcs1v1PHrbd5vgZ+4HhTvhxTvZ0JfSmlQv1jvt3KXWu8LFyElaEsZKp0vwIE50G1cXOL9NF7DetXKhnj54K/DUM3ip0/nhZ1QQAAAAACD7CDyDgKtnWJSyVNSYL3OmMtOXR/YrHY5G6Gzzf+VGM2zub/Twn62vj2vK2Lk/DioKVTE0N2tQTvEqmSqt0tYzJ+WW6iJ0bpNESK/rszp+JybTRc4StRSIAAAAAID8GngMBZrV1yV3ks9q6MJz1VT1dCd118xoVWxM3GdQcFoXOj2LcDH8vxzlZcDB6c4OrqpVMZuZxT2fMFkKrTbkGledjen6ZLk7nVhBx7Yy2YufPYOqc0fMEuUXiVDqj3YMpbd8/rN2Dqcj8PgMAAAAAP1D5AQQUvcmdWzCnTsXWgaLS0sTk/LBTyp3NJq95d98hT85JL9uuFZoN4WUbsKipxNwfJ9c8t4vT+a6dlWgvGGXl/jxNzp/vPfNLLZpXp+NnvGmrV26VrAQFAAAAgDAi/AACit7kznk9qDnITM4PO6UsHpu85vDpcf3Vrhd16xtXlLpr07xou0aIWFixxelyz/1xcs0zac1l8jzW+eXXonK1BiqVWKQ3On9On9dHrl1hOx8pqDOACoW4VlULIS4AAAAAzEb4AQRUNS3ke8WPQc1B5ea4l3pns+lr3vfkYV2SmBeIhbgwhYjlXCg3XZwu59wfJ9c8kzk/pq/n16Jytd6lX6lFetPzZ3nrnLJXNblFiAsAAAAApSH8AAKqmhbyvVLpQc3l5Oa4l3pns5PXDMpCXFhCxEIL5Xds7NSCOXWeBiJBvYPc6TWvUGsuJ6/n16JyqZ9x2CtFKrlI7+T8Wb+staxVTW6FKcQFAAAAgCAh/AAC6uTZwj3JLVFZyHcjd7Hwjo2d2vLI/oLbB7WliVMmQU88phkzUEq5szn7810wt65ov3xLUBbivAwRc8+1K5d6892zWyjPPZfdVg74uTjtduG+lPAytzXXCyfO6Fu7Bou+VktjrdYtafFlUbnUzzgKlSKVXKR3ev6Us6rJrbCEuAAAAAAQNIQfQABNpTO694mBott94q2XRGIhv1SFFgs/cPVSbX9+ODQtTUph0vbnS+9YowVzS68ayPf5tjSa/9oIwkKcV9VAhc61P373Zbr6oqaS98/p4Hq31Rl+LU57sXBvck7nCy+zF7F3D6aMwo/3XrVENfGYL4vKpXzGQa3GcaqSi/Slnj9hQCUoAAAAAJSG8AMIINNh1gvm1JVhb4LJbrHwwaeP6K53ulv4zxbUVjSF2v54EfQU+nxHxiaNn8PvhTjruAyPntfJcxNaMKdO7a8EGdbx8WJB1O5c+59/u0dbe9dqY4mfdamD60utzvBjcdrNwn3ud6u7s83VOW0SdrU01uqDG5ZL8mdR2elnHKV5DpVepPfzmlhJ1dTSEQAAAAC8RPgBBBAtLuyZLBb+6c4X9P1br/FkPkKQW9Hktv3xIpxxWo2QT/sr++GXfMcl+7Wzj4+bBVGTz+LuHQN6S4kL06V+h0ttHeT14rTRwn1f/oV7u+/Wtts2lHROm4Rdn7lh9fRz+bGo7PQzjtI8hyAs0vtxTay0KFe1AAAAAICf4pXeAQCzVfru2aBzsljohnVHe+5rWXe09/UnXT2/V6y2Pzeuadf6Za2uF8BKrUbI9u4rFvu2EFfouFjyHZ+eroS23bZB37jlCn3x7a/VN265Qt+/9ZqiAVaxzyIjd+eam+9wKcGJtThtx8nitNF38fR5fWvXizN+Vuy7tXPgRMnntBV25b7PjuaGWVUo1qKyHaeLyk4/4yiF3X58nqXuh5fXxCBwcl4DAAAAAC6g8gMIoCDcPRtk5VgsjFIrGqe8WGRd3jrHgz2ZzUlVSu7xKWXAselnMTx6XrsHU47vNDf5rhdSSnDi9R3kpp/P/U8eVmdinnq6EmX5bjm5+9+uMugT3ZeopbFW2/cPF3yOfG3xnHzGbsLuILbki2rrqSCIYlULAAAAAPiJ8AMIIFpc2CtHZUyUWtE45UVFkV9VSU6qUrw4Pqbv454dA0plzUMxbY1m8l3Px0346eXitJPjbAUa5fpuOQm78i0qnzw3oXt3DNi2vLNr3WX6GZcadge5JR+L9P4pJcQFAAAAgGpF+AEEFHfPFlaOypgotaJxyk01guRvVZLTz9vt8TH9LFI5g+BNhn1bCn3X7bgNP71anHZyrliBRlC/W9mLyn39SW15ZP+sbbKPq6Sig95NZpeUEna7GTJfLizSAwAAAAAqjfADCDDuns3P6WJhKa1hFs6tM9qXKM5dKbUaweJnVZLTz9vt8amJx3Tja9v14NNHSnq8afumvJUHZyd07xMDvoWfThanC32HnJ4r1uNNVOq7ZTTk3qD1mnXsTT5jJ2F3NbfkAwAAAADACcIPIOC4ezY/08XCUlrDWI8pJkpzV3IXt7s722w/X0kVqUpyUmngxfHp60+WHHxIzto35fuub+xKVDz8LPYd6ulK6KPXrtB9Tx4u+lzWeyh2DBfMqdPli+d7sv9OmbTlclLp4qb1Vr7jXc0t+QAAAAAAcILwA0BoFVssLKU1TKHH5BOVuSt2i9t2bXtKrUpyM6TZSaWB2+PjZLi6HTftmyodfpp+h16zcK5ikjI2z2WFUSbH8OS5Cf36N5+qyPwKL9ttOX0uk+Md1LZhAAAAAAAEDeEHgLJzs/idq9BiYSmtYUwXu4MyVNgLxRa377p5ja5fvSjvY0tZmPdiSHOxGRleVaA4Ga5uJ6yt0Uy/Q+l0RlsenT0fI1d2GGUy56RS8yu8PF5+HPugtw0DAAAAACAoyhp+PPbYY/r4xz+um2++WV/96lfL+dIAAsKLxW8TpbSGMV3s/sJNl+qaFQu82M2KMlnc/uyj+6V3SNdfmj8AccLLIc3ZVT/Do+d18tyEFsypU3tWdYFbXtw5H+bWaKbfoa2P259D8Zj0pXeumXVse7oSetPKhXrHfT+bNTA+W7nnV5i05Wp/JViw28avY2+yf2E+7wAAAAAA8Eq8XC/04osv6gtf+EK5Xg5AAFmL37mLdtbid19/0rPXKqU1jOljTp6dKGmfgsZkcTudkbY8ut/1sTGtIphKZzSVzmj3YErb9w9r92BKU+n8zZSsypNfW9uh969fql9b26H1y1o9WyT34s75MLdGM/0+pM7Zfx/SmQszPPJ59ugp2+BDejWk9Jt13j124Lh+/YrFtttu7lmlzT2rbLfx69hbbcMq8doAAAAAAIRJWSo/Dh8+rN/5nd9RMundwiaAcCmlDZUbpbSGqbZ2Mk4qG9weG9Mqgr/a9aK++8xR3yuDTJjcYb+4pVG//5aVumfHQNmHv/vNy/O80LkWlPkV+SrS5jfWKiZpJCucyT2u+Vp3lePYF2obVuy1vWw5CAAAAABA0Pkefjz22GP69Kc/rdHRUb9fCkCAldKGyo1SWsNUWzsZJ4vbbo+N6eL1fU8envWzSs1+MBnM/YWb1+rqi5r01lWJyC0qm3wfTBU614IQOBZqx3bqldDjI9eu0PLWOXmPa3b7tXIfe6evXa6WgwAAAAAABIVvba9eeOEFfexjH9PHP/5xjY6OatmyZZo/f75fLwcg4Mp9h7dpaxhJ0y2W9g6N6I5Xfmb3GK8XNk3bPHnNWtw2ZXdsir0HLxavrbZY5WTdYZ/7OXU0N+grvWt102UX2iNZLbhuXNPuaeutSqqJx3THW+2/DybsAkPTc9CvVnMmFWnff/aXuv7SRQWPayWPvelru2k5WKnrEwAAAAAAbvlW+fGFL3xBTz31lCTppptu0h/+4R/qPe95j06dOuXXSwIIsErc4V2sNYwk9T6wa9ad0B+4eqm2Pz9cllY2lbwb26SyIVuhY2PyHryoIvCyMsiJQnfY19aEL+Bw2vZowdz8szqcsAsMa+Ix3bGxU1se2W/7HH+68wVt7Ep4HiyUuyKtEty0HKRaBAAAAAAQZr62vVqzZo02b96sN7/5zX6+DIAQqFRLqUIL1zsHTuRd9B8+Pa4Hnz6iu965Rgvm1vnayqZQu51ytnnq6UrorpvX6LOP7pfdDd2Fjo3pe3AatBTi9+yHQqw77MvBr7kMpSxku/2833bpoqLncKFh6NmOjZ7X3/98SG1z6z39TIIyc8RPpQY8Qbg+AQAAAADghm/hxx//8R9r5cqVfj09XGLoKcrNZPHbj5ZS1mtnL+qZ3An9pztf0Pdvvca370W5B8Bbr5nve3/96kXSO6Qtjxa++z7fsXH6Huwqcd51+UW6P8+8j1xRGTafLfu4vJg6p+/+x0s6fubVNk/5Agqn1/BSF7Ldft5PHT6pqXSm4L5NpTN66vBJo+e694kXpv+/V9UHQZg54rdSAp5KXJ8AAAAAAPCab+GHl8FHjH9Xe6rvYFJfzXP37yd7VqlndWkLSdYx4ljBznWrE/pK79pZ519Hc4M2b+ws+fxzysmd0Fcvb43EPuT73s9vqNH71i/Vh96wXG977SLVxGOOjk0p7+G61Qm9dVWbfn5kRMkz40rMq9eVSy9UlHzvmaNFK4OuXNoSmOuMF9e9fMcllxVQfKV3rXpWJxxfw00Xst+6avZC9pVL3bUrGxmbLHgOm7z3QnI/k1KZvL+gnXdOOQl4rPcYhGskgom/7wGoJlzzAFQbrnuIIl/bXnlh4cJ5qqnxbS571fnRL47qzm37lNvd5vgrC0l/8d+vmh7gW4q2tmZ3O4jIuyXRrPe84TV66j9f1vDomNqbG3XNyoVlvXv4/BGz2UPn43ElEv6c0+Xch0Lf+1Pnp3Tfk4f193tf0p/8xuW65dqVjo6Nm/dwU/v8Wdv98bsv0//82z2SNGNfrVf/o3e9Th15HldppV73Ch2XfGKS7t35gpqaGhxfw386cMJoIfuF0Qm9sbNt1p8VOi6m8h1/J++9EOszec8bXuPq+hHW887U2xY2afH2g/rlyFjezzsm6aKWRr1t3dLpzzEI10gEG3/fA1BNuOYBqDZc9xAlgQ8/Xn75DImjR6bSGX3+e7/Iu/hh/ewL339OV7bPc7yQFItduDieODGqjJvVLFSNrpZ6dbVcuCP55Muny/raDem08XbJ5Gio98Hue29JnZ3Q7X+7R7e9cblufeMK42Pj9j1MpTOzKkC25qkMan+l+uTqi5p8Ox6lcHPdMzku2TKSjo6M6TP/9Kzja/jASymj1xh4KTV93LNdfVFT3uMyry6uMxPFz4Hc4+/0vRdifSY/2XvEVfVBofcX1POuFHd0X6JPFWg5mHnlz7O/60G4RiKY+PsegGrCNQ9AteG6h7AxuRnPUfiRyWR09uzZgn/e0NCg2lrv8xS+cN74+RGzNhY/PzJS8mDfTIbjFTbVOP/FyfB163z2+nMqZR9KYfK9tzzw0xf193uG9NkbLzWapeDmPdgN395224a8n3VQry2lXPecHJdsqbFJ2z/Pdw1PzDNsezSvvuD72NiV0Fs622Ycl8sXz9fb7/uZRmz2Kd/xL/W9F5I8Pe763Mj3/oJ+3jmx0WbezqaNndrYlZjxPst1fQqKavw96BZ/3wNQTbjmAag2XPcQJY6SiqGhIV133XUF//yuu+7Sb/zGb7jeKfijlKGniDa7BWi3g4SDzOnwdT8+p3INgHf6fT51fsp2AHa2Ut9DqcO3vVTpxU4/r7O5z+1kIdtOTTw2Kxj/zA2rHR9/0/f+a2va9cP9w0W382oYeb73FyU9XQl1Fwh4cpXr+hQE1fp7EAAAAACqAcM0qoiToaeIPmsBOndB1FqA7utPVmjPyqPnlTuh23PO9wVz6vS+q5aopbFWU+mMr59ToX3oaG7wLAAo9ft8T9+AptLFb/Vw+h5Mh2+bvHap+vqTuvn+n+n2h5/R537wvG5/+Bnd+OdP6rGDx317zVylHJcFc+pKem5rIdtOqQvZpRz/E2fNwo+lrY0qtksmoQ1eZQU8N65p1/plrbbHvBzXp0qr9t+DAAAAABB1jio/li5dqgMHDvi1L/CZV3f/orBK301uynQBuruzLZD775XsO6F3HjqhH+4f1slzE3poz5Ae2jOk9qZ6jU3a9753+zk5uRu7FCbf+3yOnT6vvUNmLfCcvIe9Q2bt90xf26lCVScj56e05ZH92nf1qH6v+xLPXq/QNaGU4/Kp61bp3icGSrqG9xRpe+RmIdv0+Oe7w76QlsZaPfDTF4tuF5Xqg6Dy+/pUSfweBAAAAIDoC/zAc8zkZnG9mtpYVEKYWmdUegE6SGriMY2MTeqhPUOz/sxkkdaLz8nPdjsm3/tCnLRmMn0PlWy/N5XO6Es/Pmi7zYNPH9Hai5p1/aWLXL9esWuC6XHJDiji8VjJ13A/F7KLHf9CoVMhxep+4jHpS+9YE7hra6mCHJxHtR0YvwcBAAAAIPoIP0LEi8V1P+/+rWZBmGHgBPNfXmVy928xQf+crO/9l358UKeKDMzO5kcLvEq239szmDJ6/1sf69fGroSrxWfTa0Le63FTg959xUVa1jpn1kK422t4JRaynXzHOpob9O7LL9J9Tx623S6dkRbMNWsDFnRhCs6jhN+DAAAAABB9hB8h4eXiepTbWFRCGFtnMP/lVSZ3/xYThs/J+t5/82eH9Zc/fbHonfUdTf60wKtk+72nB1NG26XGJl3d7e3kmlDK9Ths13DT79gdb71Ev3XlEj12wGz2Su6idJCrJwoJW3AeJfweBAAAAIDoI/wIAT8W16PaxqISwtg6I2zzX/xc1HR7V2+QPqdiauIxfeTa1+iSxDxteWS/7babepy3wDM5TpVsvxdz8JRuzgun14RSrsdhuoabfpZtc+tVE4+VtCgdxuqJMAbnURK234MAAAAAAOcIP0IgjIvr1SSMrTPCNP/F70VNt3f1vvvyi1zvQ7ldv3qR4r2xvG2wWhpr9ZkbVjv+bJ0cp0q137tqaau+qUGjbYudF1bQc/7IKTWk0zOCnuHR80avEaRrgp+chhlOF6XDWj3B7/bKCtPvQQAAAABAacoafvT19ZXz5SIjjIvr1SSsrTPCMP+lHIuaJgutLY21qq+J6fiZiVl/dt+Th/XdZ44G+g7zfKzWSXsGU3p6MKVY7EI4YFUiOFHKcapE66b1y1rV0lirkSJzP9pf2ZdC7IIe6cLd+iaCdk3wy7olLZrfWGs7b6WlsXb6M3eyKB3m6oly/W4PYzuwcgnD70EAAAAAQOmo/AiBsC6uV4swt84I8uyAci1qmiy0fuaG1erubNO3dr2o+/MMYg76HeaF1MRjev2KBXr9igUlP4eb41Tu1k018Zg+c8Nq22MtSZt7VhU8p4oFPaaCek3wi9NvqOmidJirJ8rxuz2M7cDKLci/BwEAAAAA7hB+hECYF9erQdhbZwR1dkA5FzVNFlqn0hl975mjts8T1DvM/VSJxWc3d7Jbx/rLPz44qwKkWMsvk6DHVJCvCU6YHIu9QyNFq21G8gyZN1mUDnNlpN+/28PaDqwSgvp7EAAAAADgDuFHCIR9cb0a0DrDe+Ve1Cy20BrmO8z9MpXO6KnDJ4223XnohCefixd3slvHevdgSnuOpJTJSFcva9VVRVp+mZwDxSyYU6dPv60rEtcE02Ph5rtcbFE6zJWRfv5uD3M7MAAAAAAAvEL4ERIsrgcfrTO8VYlFTbuF1jDfYe6HfAvfdh7aM6R1S1tcXau8vJO9Jh7TNSsW6BoHLb+8OLZ3vPWSSFyvnRwLP7/Lly+er9bGWqVsKkuCXBnp1+92wloAAAAAAAg/QoXF9eCjdYZ3gtburZxhTNAHFBda+C7GzZ3mQbiT3Ytj297c4MGeVJbTY+HXd9kK4OyCDyn4lZF+/G4nrAUAAAAAgPAjdFhcR7UIWru3coUxQR9Q7GbuhZs7zf28k900bDI5B+wEuQLBCafHws13udCxMQngwlQZ6fXv9jC3AwMAAAAAwCuEHwACK0jt3soRxoRhQLHbuRel3mnu153sTsImk3PATtArEEyVcixK+S4XOjZ3bOzUvTsGbF97wZw6/dOHXq/62rjRvkZN0CrnAAAAAACoBMIPAIEWpHZvfoYxQWjrZMJtmxynd5pbd/6/cOKM589fSthU7ByQFIiwzk+lVhU4+S7bHZstj+wv+tonz03o2aOnqrZSMmiVcwDMBb31JQAAABAmhB8AHCv3P8yD1O7NrzAmLAOK3bTJyb7T3OQccjpU3cmd7G7Cpuxz4Hw8roZ0esb+ByWs84ubqgKT77Kb1mrZqn2eRZAq5wCYCXrrSwAAACBsCD8AOBL0f5iXI5jxI4wJy4BiN3MvrDvNTc6hUoaqO7mT3W3YVBOP6erlrUokmpVMjiqTmflnQQnr/OB3VYHb1moW5lkEq3IOgL0wtL4EAAAAwobwA4CxoP/DPOjBjJ2wDCg2Wfie31irU2OT0/+dfae5yTnU3dnm6M7/Qney2wVhXoZNU+mMfn6kuhaX/awq8CLgK1YFVE1tZaIexgFREJbWlwAAAEDYEH4AMBL0f5gHPZgpJkwDiostfBe609z0HGqqrzG68//Db1im1y9fYNwyKzsI8yps+tEvjurz3/tFqAI3rxb+/aoq8CLgs6s8CXNIGnTVFCoBXgpL60sAAAAgbAg/ABgJ8j/MvQhmKr1oF7YBxcUWvvOdA6bn0J4jKaN9WLlwXt7XMa0ucRs29R288DqZnJ8HOXDzeuHfj6oC0yDwE92X6N4nBhxVnoQ9JA0yQiWgdGFpfQkAAACEDeEHACNB/oe522AmKIt2YRtQ7HTh2/TcyOSmCQXkqxBwEoS5CZum0hl9te/QrOAj3+sEJbAK8sJ/bvh4x1s7teXR/QW3t74PG7sSxqFl0KvXwizI5xYQBmFpfQkAAACEDeEHACNB/oe5m2AmaIt2UR5QbHpuXL2sVY8+d6ykqoxv7XrROAhzEzYFuRIq11Q6oz2DKX3pxwdtt8te+C9nJVSh8PEDVy/V9ueHbY+NkwAuTMcsTAiVAPfC1PoSAAAACBPCDwBGgvwP81KDmaAu2kV1QLHpOXTVstaSqjL6+pO6/8nDRvtiBWGlhk1BroTKli9YKMRa+B8Zm5z1mNY5dfq1Ne3qXtXmaRBiFz4++PQR3XXzGi2YU+dJCBOWYxY2hEqAe2FrfQkAAACERbzSOwAgHKx/mNup1D/MrUV1O/mCGSeLdkEwlc5o92BK2/cPa/dgSlNpw/5QAeHkHLKqMnKPa0dzw3Q1Tvbn8e+HTxYNsrJlB2FW2HTjmnatX9ZqdA4HuRLKYgULJsGHZeehE3kfkzo3oYf2DOn2h59R7wO71NefdL1/JuHjnz7xgtYtaXF0bArx45gF7TtZif0hVAK8YfJ7DwAAAIAzVH4AMBbUmRSl3jEZpkU7L+aSVHqou+TsHLKrynBS0ZDLiwolK3A7fnq84NyPSlRCWcd4ePS87nniBceP/+G+Y0W38aolXLkrBryuXgvKrKBK708YgkAgLKLc+hIAAACoBMIPAI4E9R/mpQQzYVm082IuSZAWap2cQ/lagBX6PEx5UaFUE4/pkwFrUeImEJKkmKTU2KTx9m5bwpU7fPSyrUzQZgVVcn+C3BIRCKOotr4EAAAAKoHwA4BjQf2HudNgJgyLdl7MJQnaQq1U+jlk8nnY+ei1Kzx7rz2rE/qL/36VPv+9X1S8EsptICSpYAVLIW6rMioRPnpRvRa0WUGV3h9mFQAAAAAAgorwA0CkOFlUD8OindvWQJVeGPWayedRSHtTvT64Ybmn+3PTZYt1Zfs8/fxI5Sqh3AZCbripyqhU+Oi2ei1oA76DsD+VbokYhJZ+AAAAAIDgIfwAUNUqvWhXjNvWQEFYGPWSm8X2zT2rfLvzvZKfnZtAKFfrnDqlzk0Yb++mKqOS4aObYxa0WUFB2Z9KtUQMUks/AAAAAECwEH4AqHpBnWMiuW8NFJSFUa+UstgelCDLL14du47mBn2i+xJteXS/8fZuqzKCHj7mE7RZQUHan3IHgUFs6QcAAAAACA7CDwBQ5e/eL8Rta6AgLYx6weTzaG+q1xduulQnz074GmRNpTP66cAJDbyUUmJe5QIzr46dFTbE4zGjweleVWUEOXzMJ2izgoK2P+UStZZ+AAAAAADvEX4AQIC5bQ0UtYVRk89jc88qXbNiga/7EaRWOybHeMGcOt3x1kt0ZGRM3/2Pl3T8zKutrXKrLLLDiJ2HTuiH+44pNTZZcHsvBDV8zCdos4KCtj/lErWWfgAAAAAA78UymUym0jth5/jx0UrvAgzEYlIi0axkclTBPqMA90oZrut2IG++xXbTRehCrWEsYWwN4+bz8OK1g/Z5Otknp+di2IdJ+7X/lTwHw7A/ftu+f1if+8HzRbf74ttfqxvXtJdhj6oDf98DUE245gGoNlz3EDaLFjUX3YbwA57gAolqUcod/15VCbhZxI3iwmglFuWn0hn1PrCraCXN92+9puwBQRSPsVt+V+gELRgK2v74afdgSrc//EzR7b5xyxVUfniIv+8BqCZc8wBUG657CBvCD5QNF8hgq6YFMT+Vcsd/kKoEOA/cC/qCK8f4VUH67sF7QQ4io4y/7wGoJlzzAFQbrnsIG5Pwg5kfQMQFaTZBmJUyXDdoA3nDNFchqJJFZgw43c5rHOMLptIZffnHB223YRh2uFXrrBMAAAAAgLl4pXcAgH+sO59z74wdPj2uO7ftU19/skJ7Fj5Ohuu6eQyCLdFU7+l2cGcqndHuwZS27x/W7sGUptIXbk/61q4XNZI1pD0fvnveKXQc/NbTldDW3rVqz/m+dTQ3UNkDAAAAAKDyo5rQDqW6BK3qIOxKueM/6FUClRTW69G6JS1qb6ov2mpn3ZKWMu5VdSpU1XbHxk79391HjJ6jGr97Xqt0dWFPV0LdnW2hvJ4AAAAAAPxF+FElKr04gfJzUnVAm5ziSrnjv1xVAmELEsJ8PaqmVjtBPq8KzfMYPj2uLY/sN34eKnTcsTsOd27bV7bqC9q9AQAAAADyIfyoAkFZnEB5UXXgrVLu+C9HlUDYgoQwX4+sMGBiMq2PXrtC333m6IzPvaO5QZs2dgZ2/50I8nllUtVmoqWxlgodF6guBAAAAAAEHeFHxLE4Ub2YTeCtUu7497tKIGxBQpivR/nCgEXz6nTH9V1qa6hRYl6wKiPcCPp5ZVLVZuK9Vy3x/HgFuVrGa1QXAgAAAACCjoHnEcfA5eplVR3YYTaBM6UM1/VrIK9pkFCuwcMmwno9ssKA3H0/fmZCf/pYv+pr4lq/rDUSi9zlOK/cDsf2olqtpbFWH9yw3PXzZOvrT6r3gV26/eFn9LkfPK/bH35GvQ/sUl9/0tPXCQqqCwEAAAAAQUflR8SxOFG9qmk2QTmVMlzXj4G8YbzrOozXI5Mw4O4dA3pLAKtVSuH3eeVFOy0vqtU+c8NqT49X0Ktl/EB1IQAAAAAg6Ag/Io7FiepmVR3kLjZGaTaBHb9a0JQyXNfrgbxug4RKtOcJ2vXI5DMoFgZkFLyQyQ0/AyqvAgKTWTqF+HHtC3M7NzfKMdMIAAAAAAA3CD8ijsUJ+FF1EAZBHtjsBTdBQqU+myBdj0w/gzBWq7jhV0DlZUBgUtWWz0euXaEPbVju+bUvjFVYXqC6EAAAAAAQdMz8iDhrccIOixPRZ1Ud3Lim3ZfZBG57+Hut0IwG6w7zKPTgL3WmSyU/m6Bcj5x8BkGrVvGbX7OCvJ73UmiWjp3vP/tL422dqLaALJtfM40AAAAAAPAClR9VoNpbH8FfQauwqJYWNKXcdR2Ez6bS1yOnn0GxapWYpPYIVc/5dTe/HwFBdlXbv794Ut/82aDt9n5VX3gdkFWiJZ0b1VpdCAAAAAAIPsKPKsHiBPwQxCG/1dSCxmmQEJTPppLXI6efgUkYsDli1XN+BFR+VdBYVW2VrL7wsp1b0MJkU17PNKqksIVPAAAAAIDCCD+qSJQWJ1B5QagiyKfaWtA4CRKC9NlU6npUymdgFwb80btep6svalKmsp3ePOd1QOX3vBcvwxWni99eVcsEMUyuNmENnwAAAAAA+RF+AChJUKoIclXbjAbJPEioxs8mV6mfQb4w4MqlLepon69kctSPXa04LwMqv4djexWulLr47bZaJqhhcjUhfAIAAACA6CH8AFCSIFURZPP7DvMw47Nx9xnkhgEx1qAd8XPeixfhitvFbzfVMkENk6sF4RMAAAAARBPhB4CSBLWKwO87zMOMz4bPoNL8nPfiJlzxavHbrlrGrp1WUMPkakH4BAAAAADRRPgBoCRBriLw8w7zsOOz4TOoND/nvZQarvi9+F2snVZQw+RqQfgEAAAAANFE+AGgJEG/g97PO8zDjs+m8GcgSbsHU1X7uURBKeGKn4vfJu20ujvbAhsmVwPCJwAAAACIJsIPACUL+h30ft5hHnZ8NrM/g1KHXSP8/Fr8dtJOK8hhctQFuZIRAAAAAFA6wg8ArkS1isCuPz+ix+2w66DjfLbn1+K3k3ZaQQ+ToyzolYwAAAAAgNIQfgBwLWpVBFQARFe+EECSJ8Oug4rzuTi/Fr+dttOKapgcBoRPAAAAABA9hB8AkCXqFQCVEoTKg0IhwK9fsdjXYdeVxPlszo/F71LaaUUtTA4TwicAAAAAiBbCDwB4hZP+/CyGmQtC5YFdCHDfk4eNnqOUYdeVxPnsnNeL38ySCB/CJwAAAACIjnildwCoVlPpjHYPprR9/7B2D6Y0lc5UepeqnpP+/DBjhQ65n6tVedDXn/R9H0xCABNOh11XGudzaazF7xvXtGv9stbp4KOUa7bVTssOsyQAAAAAAPAHlR9ABQThTnjM5rQ/P+wFpfLAJAQoJox353M+e8fNNZtZEs4FoU0eAAAAACD8CD+AMqMHf3CV0p8fhTmpPPCzzYwXi/thvDuf89kbXlyzmSVhjpsDAAAAAABeoe0VUEamd8LTAqsyrP78dsJYAVApQak8MF3c/8i1K2Yd/47mhtAGkpzP7nl5zS7UTguvCkKbPAAAAABAdFD5AZRRUO6ER35Wf/58d3lbwlgBUClBqTwwHTr9oQ3L9aENyyNzdz7ns3tcs8snKG3yAAAAAADRQeUHUEZBuRMehVn9+aNUAVApQak8cDJ0Omp353M+u8M1e7ZSBr+bcBI0AQAAAABggsoPoIyCcic87NGf3xtBqjyo5qHT1vm8ezClPUdSymSkq5e16ioqFYrimj2Tn/M4CJoAAAAAAF4j/ADKyLT9Dj34K8+qACinqXQmcoFLkEKHag61dg6cmHEMvrVrkCHSBrhmv8qLwe92CJoAAAAAAF4j/ADKKEh3wiNY/LyjutKCFDpUItSqNL8XraOMa/YF5ZjHQdAEAAAAAPAaMz+AMqMHP3JZi9O5i37W4nRff7JCe+adqM3SCAvTRWuv5jZEEdfs8szjcDKbBwAAAAAAE1R+ABUQpDvhwyhK7aHKcUc1qpeTRetqq4gpJN/1pdqv2eWaxxGkNnkAAAAAgPAj/AAqpBrb73ghau2hWJyGnxgi7Uyx60u1fgfLOY+j2oMmAAAAAIB3CD8AhEalZxf4UXHC4nS0BK0qya9F66C9Ty9U+voSZOWex8HNAQAAAAAALxB+AAiFSreH8qvipJx3VMNfQaxK8mPROojv061KX1+CjsHvAAAAAIAwYuA5gFAox8DdQkodSD6Vzmj3YErb9w9r92Aq71Bpa3Hajpd3VMMfQR1a7/UQ6aC+T7cqeX0JCwa/AwAAAADChsoPAKFQqfZQpd4Rbnp3PHdUh1/Qqwa8GiId9PfpBu3nzDCPAwAAAAAQJoQfAEKhUu2hShlI7nR2gFeL06iMnx8pfWh9uWZneLFoXcp3ISxoP2eOeRwAAAAAgLAg/AAQCuUeuGtxekd4qXfHc0d1eCXPlFY1UO7ZGW4XraNcHVGp6wsAAAAAAPAPMz8AhILXswtMOb0j3M3sAGtx+sY17Vq/rJXgIyQS85xXDYRxdkaUqyMqdX2pBiazj9xsDwAAAABAIVR+AAiNSrSHcnpHeJTvjg+bcrWUunKps3MkrLMzol4dQfs57zmtbip3NRQAAAAAINoIPwCESrnbQzkdSB7lu+PDpJyLqE7PkbDOznD6PsOI9nPecTr7yOn2AAAAAAAUQ9srAKFT7vZQ1h3h7TmBRUdzw6wFOevueDthvjs+DCrRUsrJORLm6iAn7zOsaD/nnml1k9XSyun2AAAAAACYoPIDAAyY3hFeDXfHB1klW0qZniNhrw6iOgLFOK1uCms1FAAAAAAg2Ag/AMCQdUd4McwOqJxKL6KanCNRmJ1h+l1AdXJa3RTmaigAAAAAQHARfgCAD7g7vjLCsIhKdRCizml1U9iroQAAAAAAwUT4AQA+8eLu+Kl0hgDFgbAsolIdhChzWt0UhWooAAAAAEDwEH4AQED19SdnLY63N9Vrc88qFscLCNMiKtVBiCqn1U1UQwEAAAAA/BCv9A4AAGbr60/qzm37Zi3iD58e153b9qmvP1mhPQs2axHVTpAWUa3qoBvXtGv9stbA7BfgllXd1J5TZdXR3KCtvWtnBbhOtwcAAAAAoJhYJpPJVHon7Bw/PlrpXYCBWExKJJqVTI4q2GcUEHxT6Yx6H9hVtHrh+7dew2J5AfmqZrxuKVWJ6x5t0BA2Ts9ZzvFg4+97AKoJ1zwA1YbrHsJm0aLmotvQ9goAAmbv0Iht8CFJx0bPa+/QiOuZIlEVxZZStEFDGDmdfeTFrCQAAAAAACTCDwAInGSR4MPpdtUqSouoVhu0XFYbNNoCAQAAAAAAzMTMDwAImEROz3u32yHcptIZ3d13yHabe3YMaCpNXTIAAAAAAICF8AMAAmbdkpZZQ39zdTQ3aN2SljLtESrJSRs0AAAAAAAAXED4AQABUxOPaXPPKtttNm3sLDi/Yiqd0e7BlLbvH9buwRQVASFHGzQAAADg/2/v7mOroM89gH8LCExAkHYyhxUJApsvwDSZWZwvgBsmRudYnNNlm87X4ZwCbmriSzZxMh2GOJkhuiXS+DJlyaLGYYKom8vVP5gagwrUBaadk1sQxToL9Jz7B7e9V6GlwDk99PTzSUxOOL+ePrHll9LveZ4HAPacnR8A+6Fp4+vyq7OO2mnB9ahhgzJn6rhO9ztYil19jEEDAAAA2HPCD4D91LTxdTllXG1ebno/zR9uTd3QgZkyeninHR+WYlen9jFoXY2+MgatNNoKxW7/fQMAAAD2b8IPgP1Y/341Ob5+xG7PdXcp9injav0yt5dpH4O2q2CrXVdj0OgeXVMAAABQXez8AKgClmJXt/YxaId8arTVqGGDdPSUQHvX1Kf/DrV3Ta1Y21yhygAAAIC9pfMDoApYil399nQMGt2jawoAAACqk/ADoApUYim2/Qg9r7tj0Oi+Pema8v8eAAAAeg/hB0AV6Oml2PYjUC10TQEAAEB1svMDoAq0L8XuSqmWYtuPQDWpRNcUAAAAUH7CD4Aq0RNLsbu7H6GtUNznzwU9ob1rqiul7JoCAAAAeoaxVwBVpNxLse1HoNq0d01d+9hrnZ4pVdcUAAAA0HOEHwBVppxLse1HoBq1d019eo/NqGGDMmfqOHtsAAAAoBcSfgDQbfYjUK3K3TUFAAAA9CzhB8D/aisU/eJzN9r3I3Q1+sp+BHqrcnZNAQAAAD1L+AGQZMXa5p1G3hwydGDmTjvSyJv/x34EAAAAAHqDfpUuAKDSVqxtzrWPvbZTN8OGD7fm2sdey4q1zRWqbP/Uvh/hkE+Ntho1bFB+ddZR3Q6L2grFrHxrc556fUNWvrU5bYViOcoFAAAAoA/S+QH0aW2FYhasaOzyzJ3PvJlTxtXqZvh/9nU/gk6b3sdYOAAAAKA3EX4AfdrLTe93ub8iSd7d0pqXm963C+BT9nY/Qnunzae1d9rsSfcIPUNYBQAAAPQ2xl4BfVrzboKPPT1H17rbaWME1v7DWDgAAACgNxJ+AH1a3af2VuzrObq2J502VJ6wCgAAAOithB9AnzZl9PCdFnd/2qhhgzJl9PAeqqi66bTpXYRVAAAAQG8l/AD6tP79ajJ32pFdnpkzdZzFziWi06Z3EVYBAAAAvZXwA+jzpo2vy6/OOmqnDpBRwwZZvl1iOm16F2EVAAAA0FsNKOeLr127Ng0NDXnxxRfz73//O0kyatSonHDCCfn+97+f8ePHl/PTA3TbtPF1OWVcbV5uej/NH25N3dCBmTJ6uI6PEmvvtLn2sdc6PaPTZv/RHlZ1NfpKWAUAAADsj8rW+dHQ0JCzzz47f/jDH7Ju3bp8/PHH+fjjj7N+/fo88sgjOfvss/PQQw+V69MD7LH+/WpyfP2IzPjiITm+foRfwJeJTpvew1g4AAAAoLeqKRaLxVK/6IoVK/KjH/0oSTJhwoRcddVVmTJlSv7zn//kpZdeyp133pl33nknNTU1Wbx4cU455ZROX+u//3tLqcujDGpqkrq6YWlu3pLSf0cB1aitUOzVnTZ96d5bsbY5C1Y0fqIDZNSwQZkzdZywCvqQvnTvAbjzgL7GvUdv89nPDtvtmbKEH2eccUYaGxszduzY/PGPf8yQIUM+8fzmzZszc+bMNDU1Zfz48XniiSc6fS3hR+/gggT6mr527/X2sArYd33t3gP6Nnce0Ne49+htuhN+lHzsVWNjYxobG5Mkl1122U7BR5KMGDEiF1xwQZIde0GamppKXQYAUELGwgEAAAC9ScnDj7fffjtDhw5NkkyaNKnTc2PGjOl4vGHDhlKXAUAf0FYoZuVbm/PU6xuy8q3NaSt4ewoAAAAAyYBSv+Cpp56alStXpqWlJYMHD+703Lp16zoeH3TQQaUuA4Aqt6s9FIcMHZi50460hwIAAACgjyt550e7IUOGpH///rt8rq2tLUuXLk2SjBw5MmPHji1XGQBUoRVrm3PtY699IvhIkg0fbs21j72WFWubK1QZAAAAAPuDknd+dMd9992XNWvWJEnOPffc9OvXdQZTY6z4fq/9a+RrBZRbW6GYBSsauzxz5zNv5tQja8u6l8K9B/Q17j2gL3HnAX2Ne49q1OPhx7Jly7Jw4cIkyRFHHJGLL764y/MjRw5J//5la1ChxGprh1W6BKDK/debG3fq+Pi0d7e05h9btuUr42rLXo97D+hr3HtAX+LOA/oa9x7VpEfDjyeffDI/+9nPUigUMnTo0Nx1110dy9E7s2lTi8SxF6ip2XE5bty4JUX7hoEyevNfm7t9bvzwgWWrw70H9DXuPaAvcecBfY17j96mrm73Qd0ehR/FYjEfffRRp88PGjQoAwbs+iXvv//+zJ8/P4VCIUOGDMnixYszceLEbn7ePamSSioWfb2A8qob0r1Ao27IwB65j9x7QF/j3gP6Ence0Ne496gmexR+NDU1Zfr06Z0+f9ttt2XmzJmf+LO2trbMmzcvDz74YJJkxIgRuffeezNp0qS9KBeAvm7K6OE5ZOjALkdfjRo2KFNGD+/BqgAAAADYn5R1mUZLS0tmzZrVEXzU19fn4YcfFnwAsNf696vJ3GlHdnlmztRxZV12DgAAAMD+bY86Pw477LCsXr26W2e3bNmSCy+8MK+++mqSZPLkybnnnntSW1v+5bMAVLdp4+vyq7OOyoIVjZ/oABk1bFDmTB2XaePrKlgdAAAAAJVWloXnra2tueSSSzqCj6lTp2bhwoUZPHhwOT4dAH3QtPF1OWVcbV5uej/NH25N3dCBmTJ6uI4PAAAAAMoTftx+++156aWXkiQzZszInXfe2ekidADYW/371eT4+hGVLgMAAACA/UzJE4nVq1fngQceSJKMGTMmN910U1pbW9Pa2trpxwwePDj9+/cvdSkAAAAAAEAfVPLwo6GhIcViMUmyfv36nHjiibv9mCVLluSEE04odSkAAAAAAEAf1K/UL/jKK6+U+iUBAAAAAAC6reSdH48//nipXxIAAAAAAKDbSt75AQAAAAAAUEnCDwAAAAAAoKoIPwAAAAAAgKoi/AAAAAAAAKqK8AMAAAAAAKgqwg8AAAAAAKCqCD8AAAAAAICqIvwAAAAAAACqivADAAAAAACoKsIPAAAAAACgqgg/AAAAAACAqiL8AAAAAAAAqorwAwAAAAAAqCrCDwAAAAAAoKoIPwAAAAAAgKoi/AAAAAAAAKpKTbFYLFa6CAAAAAAAgFLR+QEAAAAAAFQV4QcAAAAAAFBVhB8AAAAAAEBVEX4AAAAAAABVRfgBAAAAAABUFeEHJbV27drcdNNNmTFjRiZPnpzJkyfn61//em688casXbu20uUBlNXy5cszceLEXHPNNZUuBaAkVq9enZ/+9Kc5+eSTc8wxx+SrX/1qLr/88vzlL3+pdGkAZTdv3rxMnDgxjz76aKVLASib5557Lj/5yU86ft477rjj8s1vfjMLFy7Mpk2bKl0e7JOaYrFYrHQRVIeGhobMnz8/27dv3+XzAwYMyA033JDzzjuvhysDKL9//vOfOe+889Lc3Jwzzzwzv/71rytdEsA+Wb58ea6++ups27Ztl89/73vfyw033NDDVQH0jKeffjo//vGPUygUMm/evJxzzjmVLgmgpLZv357rrrsujz/+eKdnamtrs2jRonzpS1/qwcqgdHR+UBIrVqzIvHnzsn379kyYMCGLFi3K3/72tyxfvjx33HFHDj300Gzfvj0///nP89xzz1W6XICSWr9+fX7wgx+kubm50qUAlMSqVasyZ86cbNu2Lccee2waGhrywgsvZOnSpZk+fXqSHW98eeCBBypcKUDpPfPMM7n66qtTKBQqXQpA2SxYsKAj+Jg+fXoeeuihvPDCC3nssccyd+7cfOYzn8nGjRtz+eWX5913361wtbB3hB+UxIIFC5IkY8eOzcMPP5zTTjstdXV1qa+vz1lnnZU//elPGT16dIrFYu64444KVwtQOsuXL8+3vvWt/Otf/6p0KQAls3DhwrS2tubwww/P/fffny9/+cs5+OCDc+yxx2bRokX52te+liS566678uGHH1a4WoDSKBQK+c1vfpNZs2Zl69atlS4HoGzefffdLFmyJEly5pln5re//W2OO+64HHzwwZk4cWIuvfTSLFmyJAMGDMjmzZuzePHiClcMe0f4wT5rbGxMY2NjkuSyyy7LkCFDdjozYsSIXHDBBUl27AVpamrqyRIBSu4f//hHZs2alSuuuCJbtmxJfX19DjrooEqXBbDP3nzzzY6dHpdeeulOP9vV1NTkuuuuS01NTTZv3pynnnqqEmUClNTzzz+fs88+O3fffXcKhUKOPvroSpcEUDbLly/vGFs/e/bsXZ6ZNGlSpk6dmiR59tlne6o0KCnhB/vs7bffztChQ5PsuBg7M2bMmI7HGzZsKHtdAOV088035+mnn06SnH766Xn00UczbNiwClcFsO/ag4+amppMmzZtl2cOO+ywTJw4MUk67kKA3uyiiy7K6tWrc8ABB+TKK6/MwoULK10SQNls2LAhgwcPTl1dXUaPHt3pucMPP7zjPPRGAypdAL3fqaeempUrV6alpSWDBw/u9Ny6des6Hnt3NFANvvjFL2bu3Lk56aSTKl0KQMm8/vrrSZLPfe5zqa2t7fTcUUcdlTfeeCOrVq3qqdIAyqampibTp0/PnDlzMm7cuLz99tuVLgmgbGbPnp3Zs2fvdnzp+vXrkyTDhw/vibKg5IQflMyuxl21a2try9KlS5MkI0eOzNixY3uqLICy+MUvfuEuA6pS+w6jrt4FmCSf//znk+yYGb1t27YccMABZa8NoFz+/Oc/+9kO6HPaJ7nsyjvvvJPnnnsuSXLcccf1VElQUsZe0SPuu+++rFmzJkly7rnnpl8/33pA7+Yfx0C1eu+995LsvlO3fdRfsVjMli1byl4XQDn52Q7g/xQKhdx4443Ztm1bkuT888+vcEWwd/wGmrJbtmxZx7zUI444IhdffHFlCwIAoFOtra1J0uU40yQZNGjQTh8DAEDv98tf/jJ//etfkyRnnHFGvvKVr1S4Itg7wg/K6sknn8w111yTQqGQoUOH5q677uqypQ4AgMrq379/kh3z77tSLBY7HuvqBQDo/YrFYm699dY0NDQkSSZMmJBbbrmlwlXB3rPzgy4Vi8V89NFHnT4/aNCgDBiw62+j+++/P/Pnz0+hUMiQIUOyePHiTJw4sVylAuyzfbnzAKrFgQcemCT5+OOPuzy3devWjscDBw4sa00AAJTX1q1bc/311+eJJ55IkowbNy6///3vu9zxC/s7v8GhS01NTZk+fXqnz992222ZOXPmJ/6sra0t8+bNy4MPPpgkGTFiRO69995MmjSprLUC7Ku9ufMAqk17l+7u9nh88MEHSXZ0fQwfPrzsdQEAUB6bNm3KFVdckb///e9JkqOPPjr33XdfRo4cWeHKYN/oT6ekWlpaMmvWrI7go76+Pg8//LDgAwCgl2hf+vvOO+90ea79+UMPPdTYKwCAXmrdunX5zne+0xF8nHTSSWloaBB8UBV0ftClww47LKtXr+7W2S1btuTCCy/Mq6++miSZPHly7rnnntTW1pazRICS2ZM7D6BatY8pbWpqygcffJCDDjpol+dWrVqVJPnCF77QY7UBAFA6b7zxRi644IK89957SZJvf/vbufnmm417pmp4ixYl0dramksuuaQj+Jg6dWqWLFki+AAA6GVOPvnkJEmhUMizzz67yzNvvfVW1qxZk2THuwMBAOhd1q9fnx/+8IcdwcdVV12VW265RfBBVRF+UBK33357XnrppSTJjBkzcvfdd2fw4MEVrgoAgD1VX1+f448/PkmyaNGinXZ/FIvFzJ8/P8ViMQcffHC+8Y1vVKJMAAD20tatWzN79uxs3LgxSXL99ddn1qxZFa4KSk/4wT5bvXp1HnjggSTJmDFjctNNN6W1tTUtLS2d/tfW1lbhqgEA6Mz111+ffv36Zd26dTn//PPz/PPPZ9OmTVm1alWuuOKKLF++PEly5ZVX5sADD6xwtQAA7IlHHnmkY4Tp6aefnnPOOafL3+O1tLRUuGLYO/qY2GcNDQ0pFotJdrTMnXjiibv9mCVLluSEE04od2kAAOyFY489NrfeemtuvPHGrFmzJhdddNFOZy688MJ897vfrUB1AADsiyVLlnQ8XrZsWZYtW7bbj7Efk95I+ME+e+WVVypdAgAAJTZz5swcffTR+d3vfpcXX3wxGzduzIEHHphjjjkm559/fk477bRKlwgAwB567733sn79+kqXAT2iptj+ln0AAAAAAIAqYOcHAAAAAABQVYQfAAAAAABAVRF+AAAAAAAAVUX4AQAAAAAAVBXhBwAAAAAAUFWEHwAAAAAAQFURfgAAAAAAAFVF+AEAAAAAAFQV4QcAAAAAAFBVhB8AAAAAAEBVEX4AAAAAAABVRfgBAAAAAABUFeEHAAAAAABQVYQfAAAAAABAVfkfFU3UkgvLE94AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 2000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘图方法一\n",
    "# plt.figure(figsize=(20, 8), dpi=100)\n",
    "# 创建图像并展示\n",
    "# plt.scatter(x[:, 0], x[:, 1])\n",
    "# plt.xticks(fontsize=15, color='w')\n",
    "# plt.yticks(fontsize=15, color='w')\n",
    "\n",
    "# 绘图方法二\n",
    "plt.style.use('seaborn-darkgrid')\n",
    "plt.rc('font', size=20)\n",
    "plt.rc('figure', figsize=(20, 8), dpi=100)\n",
    "plt.scatter(x[:, 0], x[:, 1])\n",
    "\n",
    "# 公共代码\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3372.714507958523\n"
     ]
    }
   ],
   "source": [
    "# 使用k-means方法进行聚类，并用你CH方法进行评估，分两类时\n",
    "estimator = KMeans(n_clusters=2)\n",
    "y_pre = estimator.fit_predict(x)\n",
    "\n",
    "# 查看聚类效果\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pre)\n",
    "plt.show()\n",
    "\n",
    "print(calinski_harabasz_score(x, y_pre))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3301.7308191861835\n"
     ]
    }
   ],
   "source": [
    "# 使用k-means方法进行聚类，并用你CH方法进行评估，分三类时\n",
    "estimator = KMeans(n_clusters=3)\n",
    "y_pre = estimator.fit_predict(x)\n",
    "\n",
    "# 查看聚类效果\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pre)\n",
    "plt.show()\n",
    "\n",
    "print(calinski_harabasz_score(x, y_pre))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9158.569564374102\n"
     ]
    }
   ],
   "source": [
    "# 使用k-means方法进行聚类，并用你CH方法进行评估，分四类时\n",
    "estimator = KMeans(n_clusters=4)\n",
    "y_pre = estimator.fit_predict(x)\n",
    "\n",
    "# 查看聚类效果\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pre)\n",
    "plt.show()\n",
    "\n",
    "print(calinski_harabasz_score(x, y_pre))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "numpy.ndarray"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
